Вынесите общий множитель за скобки 11*m^5-5*m^2*n^3+n^4 (11 умножить на m в степени 5 минус 5 умножить на m в квадрате умножить на n в кубе плюс n в степени 4) контрольная работа по алгебре 7 класс [Есть ответ!]

Общий множитель 11*m^5-5*m^2*n^3+n^4

Учитель очень удивится увидев твоё верное решение😉

Решение

Разложение на множители [src]
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|    ||                                                                                                                                                                                                                                                                                                                                                                                                         /          /                    4 |    5   1875*m |                                                                                                                                                                                                                                                                                                                                                                                                                              || |    ||                                                                                                                                                                                                                                                                                                                                /          /                    4 |    5   1875*m |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     || |    ||                                                                                                                                                                                                                                                                                                                                                                                                       /          /                    4 |    5   1875*m |                                                                                                                                                                                                                                                                                                                                                                                                                              || |    ||                                                                                                                                                                                                                                                                                                                                                                                                       /          /                    4 |    5   1875*m |                                                                                                                                                                                                                                                                                                                                                                                                                              ||
|    ||                                                                                                                                                                                                                                                                                                                                                                                                        /          /            12   25*m *|11*m  - -------|        4                                        6                                                                                                                                                                                                                                                                                                                                                                            || |    ||                                                                                                                                                                                                                                                                                                                               /          /            12   25*m *|11*m  - -------|        4                                        6                                                                                                                                                                                                                                                                                                                                                                                                                                                   || |    ||                                                                                                                                                                                                                                                                                                                                                                                                      /          /            12   25*m *|11*m  - -------|        4                                        6                                                                                                                                                                                                                                                                                                                                                                            || |    ||                                                                                                                                                                                                                                                                                                                                                                                                      /          /            12   25*m *|11*m  - -------|        4                                        6                                                                                                                                                                                                                                                                                                                                                                            ||
|    ||                                                                                                                                                                                                                                                                                                                                                                                                       /          /      46875*m           \          256  /    25*m                                    125*m                                                                                                                                                                                                                                                                                                                                                                             || |    ||                                                                                                                                                                                                                                                                                                                              /          /      46875*m           \          256  /    25*m                                    125*m                                                                                                                                                                                                                                                                                                                                                                                                                                                    || |    ||                                                                                                                                                                                                                                                                                                                                                                                                     /          /      46875*m           \          256  /    25*m                                    125*m                                                                                                                                                                                                                                                                                                                                                                             || |    ||                                                                                                                                                                                                                                                                                                                                                                                                     /          /      46875*m           \          256  /    25*m                                    125*m                                                                                                                                                                                                                                                                                                                                                                             ||
|    ||                                                                                                                                                                                                                                                                                                                                                                                                      /      2*3 /     - --------- - -----------------------  + ----- - ----------------------------------------------------------------------                                                                                                                                                                                                                                                                                                                                            || |    ||                                                                                                                                                                                                                                                                                                                             /      2*3 /     - --------- - -----------------------  + ----- - ----------------------------------------------------------------------                                                                                                                                                                                                                                                                                                                                                                                                                   || |    ||                                                                                                                                                                                                                                                                                                                                                                                                    /      2*3 /     - --------- - -----------------------  + ----- + ----------------------------------------------------------------------                                                                                                                                                                                                                                                                                                                                            || |    ||                                                                                                                                                                                                                                                                                                                                                                                                    /      2*3 /     - --------- - -----------------------  + ----- + ----------------------------------------------------------------------                                                                                                                                                                                                                                                                                                                                            ||
|    ||                                                                                                                                                                                                                                                                                                                              ____________________________________________________________           /         \/           2048                8                 2               ____________________________________________________________                                                                                                                                                                                                                                                                                                                                            || |    ||                                                                                                                                                                                                                                                                                                                            /         \/           2048                8                 2               ____________________________________________________________            ____________________________________________________________                                                                                                                                                                                                                                                                                                                                           || |    ||                                                                                                                                                                                                                                                                                                                            ____________________________________________________________           /         \/           2048                8                 2               ____________________________________________________________                                                                                                                                                                                                                                                                                                                                            || |    ||                                                                                                                                                                                                                                                                                                                            ____________________________________________________________           /         \/           2048                8                 2               ____________________________________________________________                                                                                                                                                                                                                                                                                                                                            ||
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|    ||                                                                                                                                                                                                                                                                                                                            /            /                     /              8\                   /                                                                            /            /                     /              8\                                                                                                                                                                                                                                                                                                                                                      || |    ||                                                                                                                                                                                                                                                                                                                          /                                                                            /            /                     /              8\                    /            /                     /              8\                                                                                                                                                                                                                                                                                                                                                     || |    ||                                                                                                                                                                                                                                                                                                                          /            /                     /              8\                   /                                                                            /            /                     /              8\                                                                                                                                                                                                                                                                                                                                                      || |    ||                                                                                                                                                                                                                                                                                                                          /            /                     /              8\                   /                                                                            /            /                     /              8\                                                                                                                                                                                                                                                                                                                                                      ||
|    ||                                                                                                                                                                                                                                                                                                                           /            /                    4 |    5   1875*m |                  /                                                                            /            /                    4 |    5   1875*m |                                                                                                                                                                                                                                                                                                                                                      || |    ||                                                                                                                                                                                                                                                                                                                         /                                                                            /            /                    4 |    5   1875*m |                   /            /                    4 |    5   1875*m |                                                                                                                                                                                                                                                                                                                                                     || |    ||                                                                                                                                                                                                                                                                                                                         /            /                    4 |    5   1875*m |                  /                                                                            /            /                    4 |    5   1875*m |                                                                                                                                                                                                                                                                                                                                                      || |    ||                                                                                                                                                                                                                                                                                                                         /            /                    4 |    5   1875*m |                  /                                                                            /            /                    4 |    5   1875*m |                                                                                                                                                                                                                                                                                                                                                      ||
|    ||                                                                                                                                                                                                                                                                                                                          /            /            12   25*m *|11*m  - -------|        4        /                                                                            /            /            12   25*m *|11*m  - -------|        4                                                                                                                                                                                                                                                                                                                                             || |    ||                                                                                                                                                                                                                                                                                                                        /                                                                            /            /            12   25*m *|11*m  - -------|        4         /            /            12   25*m *|11*m  - -------|        4                                                                                                                                                                                                                                                                                                                                            || |    ||                                                                                                                                                                                                                                                                                                                        /            /            12   25*m *|11*m  - -------|        4        /                                                                            /            /            12   25*m *|11*m  - -------|        4                                                                                                                                                                                                                                                                                                                                             || |    ||                                                                                                                                                                                                                                                                                                                        /            /            12   25*m *|11*m  - -------|        4        /                                                                            /            /            12   25*m *|11*m  - -------|        4                                                                                                                                                                                                                                                                                                                                             ||
|    ||                                                                                                                                                                                                                                                                                                                         /            /      46875*m           \          256  /    25*m        /                                                                            /            /      46875*m           \          256  /    25*m                                                                                                                                                                                                                                                                                                                                              || |    ||                                                                                                                                                                                                                                                                                                                       /                                                                            /            /      46875*m           \          256  /    25*m         /            /      46875*m           \          256  /    25*m                                                                                                                                                                                                                                                                                                                                             || |    ||                                                                                                                                                                                                                                                                                                                       /            /      46875*m           \          256  /    25*m        /                                                                            /            /      46875*m           \          256  /    25*m                                                                                                                                                                                                                                                                                                                                              || |    ||                                                                                                                                                                                                                                                                                                                       /            /      46875*m           \          256  /    25*m        /                                                                            /            /      46875*m           \          256  /    25*m                                                                                                                                                                                                                                                                                                                                              ||
|    ||                                                                                                                                                                                                                                                                                                                        /      - 2*3 /     - --------- - -----------------------  + -----      /                                                                        4*  /      - 2*3 /     - --------- - -----------------------  + -----        2                                                                                                                                                                                                                                                                                                                                    || |    ||                                                                                                                                                                                                                                                                                                                      /                                                                        4*  /      - 2*3 /     - --------- - -----------------------  + -----       /      - 2*3 /     - --------- - -----------------------  + -----       2                                                                                                                                                                                                                                                                                                                                    || |    ||                                                                                                                                                                                                                                                                                                                      /      - 2*3 /     - --------- - -----------------------  + -----      /                                                                        4*  /      - 2*3 /     - --------- - -----------------------  + -----        2                                                                                                                                                                                                                                                                                                                                    || |    ||                                                                                                                                                                                                                                                                                                                      /      - 2*3 /     - --------- - -----------------------  + -----      /                                                                        4*  /      - 2*3 /     - --------- - -----------------------  + -----        2                                                                                                                                                                                                                                                                                                                                    ||
|    ||                                                                                                                                                                                                                                                                                                                      \/           \/           2048                8                 4      \/                                                                           \/           \/           2048                8                 4       5*m                                                                                                                                                                                                                                                                                                                                5    || |    ||                                                                                                                                                                                                                                                                                                                    \/                                                                           \/           \/           2048                8                 4       \/           \/           2048                8                 4      5*m                                                                                                                                                                                                                                                                                                                                5    || |    ||                                                                                                                                                                                                                                                                                                                    \/           \/           2048                8                 4      \/                                                                           \/           \/           2048                8                 4       5*m                                                                                                                                                                                                                                                                                                                                5    || |    ||                                                                                                                                                                                                                                                                                                                    \/           \/           2048                8                 4      \/                                                                           \/           \/           2048                8                 4       5*m                                                                                                                                                                                                                                                                                                                                5    ||
|    ||                                                                                                                                                                                                                                                                                                                    - -------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------- + ----                                                                                                                                                                                                                                                                                                                       for 11*m  = 0|| |    ||                                                                                                                                                                                                                                                                                                                    -------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------- + ----                                                                                                                                                                                                                                                                                                                       for 11*m  = 0|| |    ||                                                                                                                                                                                                                                                                                                                    -------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------- + ----                                                                                                                                                                                                                                                                                                                       for 11*m  = 0|| |    ||                                                                                                                                                                                                                                                                                                                    -------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------- + ----                                                                                                                                                                                                                                                                                                                       for 11*m  = 0||
|    ||                                                                                                                                                                                                                                                                                                                                                       2                                                                                                             2                                                                             4                                                                                                                                                                                                                                                                                                                                      || |    ||                                                                                                                                                                                                                                                                                                                                                                                            2                                                                                                             2                                      4                                                                                                                                                                                                                                                                                                                                      || |    ||                                                                                                                                                                                                                                                                                                                                                     2                                                                                                             2                                                                             4                                                                                                                                                                                                                                                                                                                                      || |    ||                                                                                                                                                                                                                                                                                                                                                     2                                                                                                             2                                                                             4                                                                                                                                                                                                                                                                                                                                      ||
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|    ||                                                                                                                                                                                                                                                                                                                /                /           /                |                  4 |    5   1875*m ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     || |    ||                            /                /           /                |                  4 |    5   1875*m ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       || |    ||                                                                                                                                                                                                                                                                                                              /                /           /                |                  4 |    5   1875*m ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     || |    ||                                                                                                                                                                                                                                                                                                              /                /           /                |                  4 |    5   1875*m ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     ||
|    ||                                                                                                                                                                                                                                                                                                               /                /           /                 |         12   25*m *|11*m  - -------||                       /              8\                                                                                                                                                                                                                                                                                                                                                                                                                                             || |    ||                           /                /           /                 |         12   25*m *|11*m  - -------||                       /              8\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               || |    ||                                                                                                                                                                                                                                                                                                             /                /           /                 |         12   25*m *|11*m  - -------||                       /              8\                                                                                                                                                                                                                                                                                                                                                                                                                                             || |    ||                                                                                                                                                                                                                                                                                                             /                /           /                 |         12   25*m *|11*m  - -------||                       /              8\                                                                                                                                                                                                                                                                                                                                                                                                                                             ||
|    ||                                                                                                                                                                                                                                                                                                              /                /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                                                                                                                                                                                                                                                                                                                                                                                                                                             || |    ||                          /                /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               || |    ||                                                                                                                                                                                                                                                                                                            /                /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                                                                                                                                                                                                                                                                                                                                                                                                                                             || |    ||                                                                                                                                                                                                                                                                                                            /                /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                                                                                                                                                                                                                                                                                                                                                                                                                                             ||
|n - |<                                                                                                                                                                                                                                                                                                             /                /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|        4                                                                                                                                              6                                                                                                                                                                                                    5                                                                                ||*|n - |<                         /                /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|        4                                                                                                                                              6                                                                                                                                                                                                    5                                                                                                                                                                                                                                                                                                                                                                  ||*|n - |<                                                                                                                                                                                                                                                                                                           /                /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|        4                                                               5                                                                                                                                                                                                       6                                                                                                                                                            ||*|n - |<                                                                                                                                                                                                                                                                                                           /                /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|        4                                                               5                                                                                                                                                                                                       6                                                                                                                                                            ||
|    ||                                                                                                                                                                                                                                                                                                            /                /           /         1331*m     \     2048                8           /     46875*m           \          256  /    25*m                                                                                                                                          125*m                                                                                                                                                                                                 22*m                                                                                 || |    ||                        /                /           /         1331*m     \     2048                8           /     46875*m           \          256  /    25*m                                                                                                                                          125*m                                                                                                                                                                                                 22*m                                                                                                                                                                                                                                                                                                                                                                   || |    ||                                                                                                                                                                                                                                                                                                          /                /           /         1331*m     \     2048                8           /     46875*m           \          256  /    25*m                                                            22*m                                                                                                                                                                                                   125*m                                                                                                                                                             || |    ||                                                                                                                                                                                                                                                                                                          /                /           /         1331*m     \     2048                8           /     46875*m           \          256  /    25*m                                                            22*m                                                                                                                                                                                                   125*m                                                                                                                                                             ||
|    ||                                                                                                                                                                                                                                                                                                           /          - 2*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------  + ----- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------                       || |    ||                       /          - 2*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------  + ----- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------                                                                                                                                                                                                                                                                                                         || |    ||                                                                                                                                                                                                                                                                                                         /          - 2*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------  + ----- - ---------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------                       || |    ||                                                                                                                                                                                                                                                                                                         /          - 2*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------  + ----- - ---------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------                       ||
|    ||                        _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                         /               \/          \/              27                         4                           4096                16                2                             _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                _________________________________________________________________________________________________________                       || |    ||                      /               \/          \/              27                         4                           4096                16                2                             _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                _________________________________________________________________________________________________________                          _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                      || |    ||                      _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                         /               \/          \/              27                         4                           4096                16                2                  _________________________________________________________________________________________________________                           _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                       || |    ||                      _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                         /               \/          \/              27                         4                           4096                16                2                  _________________________________________________________________________________________________________                           _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                       ||
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|    ||                    /              /           /               /                    /              8\\                                                                                                                                                                                                /                                                                                                                                                                      /              /           /               /                    /              8\\                                                                                                                                                                                       /           /                |                  4 |    5   1875*m ||                                                                || |    ||                  /                                                                                                                                                                      /              /           /               /                    /              8\\                                                                                                                                                                                       /           /                |                  4 |    5   1875*m ||                                                               /              /           /               /                    /              8\\                                                                                                                                                                                                 || |    ||                  /              /           /               /                    /              8\\                                                                                                                                                                                                /                                                                                                                                                           /           /                |                  4 |    5   1875*m ||                                                                /              /           /               /                    /              8\\                                                                                                                                                                                                  || |    ||                  /              /           /               /                    /              8\\                                                                                                                                                                                                /                                                                                                                                                           /           /                |                  4 |    5   1875*m ||                                                                /              /           /               /                    /              8\\                                                                                                                                                                                                  ||
|    ||                   /              /           /                |                  4 |    5   1875*m ||                                                                                                                                                                                               /                                                                                                                                                                      /              /           /                |                  4 |    5   1875*m ||                                                                                                                                                                                      /           /                 |         12   25*m *|11*m  - -------||                       /              8\                        || |    ||                 /                                                                                                                                                                      /              /           /                |                  4 |    5   1875*m ||                                                                                                                                                                                      /           /                 |         12   25*m *|11*m  - -------||                       /              8\                      /              /           /                |                  4 |    5   1875*m ||                                                                                                                                                                                                 || |    ||                 /              /           /                |                  4 |    5   1875*m ||                                                                                                                                                                                               /                                                                                                                                                           /           /                 |         12   25*m *|11*m  - -------||                       /              8\                       /              /           /                |                  4 |    5   1875*m ||                                                                                                                                                                                                  || |    ||                 /              /           /                |                  4 |    5   1875*m ||                                                                                                                                                                                               /                                                                                                                                                           /           /                 |         12   25*m *|11*m  - -------||                       /              8\                       /              /           /                |                  4 |    5   1875*m ||                                                                                                                                                                                                  ||
|    ||                  /              /           /                 |         12   25*m *|11*m  - -------||                       /              8\                                                                                                                                                      /                                                                                                                                                                      /              /           /                 |         12   25*m *|11*m  - -------||                       /              8\                                                                                                                                             /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                        || |    ||                /                                                                                                                                                                      /              /           /                 |         12   25*m *|11*m  - -------||                       /              8\                                                                                                                                             /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                     /              /           /                 |         12   25*m *|11*m  - -------||                       /              8\                                                                                                                                                         || |    ||                /              /           /                 |         12   25*m *|11*m  - -------||                       /              8\                                                                                                                                                      /                                                                                                                                                           /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                      /              /           /                 |         12   25*m *|11*m  - -------||                       /              8\                                                                                                                                                          || |    ||                /              /           /                 |         12   25*m *|11*m  - -------||                       /              8\                                                                                                                                                      /                                                                                                                                                           /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                      /              /           /                 |         12   25*m *|11*m  - -------||                       /              8\                                                                                                                                                          ||
|    ||                 /              /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                                                                                                                                                     /                                                                                                                                                                      /              /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                                                                                                                                            /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|                        || |    ||               /                                                                                                                                                                      /              /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                                                                                                                                            /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|                    /              /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                                                                                                                                                         || |    ||               /              /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                                                                                                                                                     /                                                                                                                                                           /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|                     /              /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                                                                                                                                                          || |    ||               /              /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                                                                                                                                                     /                                                                                                                                                           /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|                     /              /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                                                                                                                                                          ||
|    ||                /              /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|        4                                                               5                                                                           /                                                                                                                                                                      /              /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|        4                                                               5                                                                  /           /         1331*m     \     2048                8           /     46875*m           \          256  /                        || |    ||              /                                                                                                                                                                      /              /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|        4                                                               5                                                                  /           /         1331*m     \     2048                8           /     46875*m           \          256  /                   /              /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|        4                                                               5                                                                                || |    ||              /              /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|        4                                                               5                                                                           /                                                                                                                                                           /           /         1331*m     \     2048                8           /     46875*m           \          256  /                    /              /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|        4                                                               5                                                                                 || |    ||              /              /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|        4                                                               5                                                                           /                                                                                                                                                           /           /         1331*m     \     2048                8           /     46875*m           \          256  /                    /              /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|        4                                                               5                                                                                 ||
|    ||               /              /           /         1331*m     \     2048                8           /     46875*m           \          256  /    25*m                                                            22*m                                                                           /                                                                                                                                                                      /              /           /         1331*m     \     2048                8           /     46875*m           \          256  /    25*m                                                            22*m                                                              3*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------                        || |    ||             /                                                                                                                                                                      /              /           /         1331*m     \     2048                8           /     46875*m           \          256  /    25*m                                                            22*m                                                              3*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------                  /              /           /         1331*m     \     2048                8           /     46875*m           \          256  /    25*m                                                            22*m                                                                                 || |    ||             /              /           /         1331*m     \     2048                8           /     46875*m           \          256  /    25*m                                                            22*m                                                                           /                                                                                                                                                       3*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------                   /              /           /         1331*m     \     2048                8           /     46875*m           \          256  /    25*m                                                            22*m                                                                                  || |    ||             /              /           /         1331*m     \     2048                8           /     46875*m           \          256  /    25*m                                                            22*m                                                                           /                                                                                                                                                       3*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------                   /              /           /         1331*m     \     2048                8           /     46875*m           \          256  /    25*m                                                            22*m                                                                                  ||
|    ||              /          2*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------  + ----- + ----------------------------------------------------------------------------------------------------------------------                /                                                                                                                                                        4*            /          2*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------  + ----- + ----------------------------------------------------------------------------------------------------------------------      \/          \/              27                         4                           4096                16                                  || |    ||            /                                                                                                                                                        4*            /          2*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------  + ----- + ----------------------------------------------------------------------------------------------------------------------      \/          \/              27                         4                           4096                16                           /          2*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------  + ----- + ----------------------------------------------------------------------------------------------------------------------                       || |    ||            /          2*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------  + ----- + ----------------------------------------------------------------------------------------------------------------------                /                                                                                                                                                          \/          \/              27                         4                           4096                16              4*            /          2*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------  + ----- + ----------------------------------------------------------------------------------------------------------------------                        || |    ||            /          2*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------  + ----- + ----------------------------------------------------------------------------------------------------------------------                /                                                                                                                                                          \/          \/              27                         4                           4096                16              4*            /          2*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------  + ----- + ----------------------------------------------------------------------------------------------------------------------                        ||
|    ||             /             \/          \/              27                         4                           4096                16                4                  _________________________________________________________________________________________________________               /                                                                                                                                                                      /             \/          \/              27                         4                           4096                16                4                  _________________________________________________________________________________________________________                                                                                                                                                 || |    ||           /                                                                                                                                                                      /             \/          \/              27                         4                           4096                16                4                  _________________________________________________________________________________________________________                                                                                                                                         /             \/          \/              27                         4                           4096                16                4                  _________________________________________________________________________________________________________                       || |    ||           /             \/          \/              27                         4                           4096                16                4                  _________________________________________________________________________________________________________               /                                                                                                                                                                                                                                                                                               /             \/          \/              27                         4                           4096                16                4                  _________________________________________________________________________________________________________                        || |    ||           /             \/          \/              27                         4                           4096                16                4                  _________________________________________________________________________________________________________               /                                                                                                                                                                                                                                                                                               /             \/          \/              27                         4                           4096                16                4                  _________________________________________________________________________________________________________                        ||
|    ||            /                                                                                                                                                         /           _______________________________________________________                                                     /                                                                                                                                                                      /                                                                                                                                                         /           _______________________________________________________                                                                                                                                                                                        || |    ||          /                                                                                                                                                                      /                                                                                                                                                         /           _______________________________________________________                                                                                                                                                                               /                                                                                                                                                         /           _______________________________________________________                                                              || |    ||          /                                                                                                                                                         /           _______________________________________________________                                                     /                                                                                                                                                                                                                                                                                               /                                                                                                                                                         /           _______________________________________________________                                                               || |    ||          /                                                                                                                                                         /           _______________________________________________________                                                     /                                                                                                                                                                                                                                                                                               /                                                                                                                                                         /           _______________________________________________________                                                               ||
|    ||           /                                                                                                                                                         /           /                                                     2                                                     /                                                                                                                                                                      /                                                                                                                                                         /           /                                                     2                                                                                                                                                                                         || |    ||         /                                                                                                                                                                      /                                                                                                                                                         /           /                                                     2                                                                                                                                                                               /                                                                                                                                                         /           /                                                     2                                                               || |    ||         /                                                                                                                                                         /           /                                                     2                                                     /                                                                                                                                                                                                                                                                                               /                                                                                                                                                         /           /                                                     2                                                                || |    ||         /                                                                                                                                                         /           /                                                     2                                                     /                                                                                                                                                                                                                                                                                               /                                                                                                                                                         /           /                                                     2                                                                ||
|    ||          /                                                                                                                                                         /           /               /                    /              8\\                                                     /                                                                                                                                                                      /                                                                                                                                                         /           /               /                    /              8\\                                                                                                                                                                                          || |    ||        /                                                                                                                                                                      /                                                                                                                                                         /           /               /                    /              8\\                                                                                                                                                                               /                                                                                                                                                         /           /               /                    /              8\\                                                                || |    ||        /                                                                                                                                                         /           /               /                    /              8\\                                                     /                                                                                                                                                                                                                                                                                               /                                                                                                                                                         /           /               /                    /              8\\                                                                 || |    ||        /                                                                                                                                                         /           /               /                    /              8\\                                                     /                                                                                                                                                                                                                                                                                               /                                                                                                                                                         /           /               /                    /              8\\                                                                 ||
|    ||         /                                                                                                                                                         /           /                |                  4 |    5   1875*m ||                                                    /                                                                                                                                                                      /                                                                                                                                                         /           /                |                  4 |    5   1875*m ||                                                                                                                                                                                          || |    ||       /                                                                                                                                                                      /                                                                                                                                                         /           /                |                  4 |    5   1875*m ||                                                                                                                                                                              /                                                                                                                                                         /           /                |                  4 |    5   1875*m ||                                                                || |    ||       /                                                                                                                                                         /           /                |                  4 |    5   1875*m ||                                                    /                                                                                                                                                                                                                                                                                               /                                                                                                                                                         /           /                |                  4 |    5   1875*m ||                                                                 || |    ||       /                                                                                                                                                         /           /                |                  4 |    5   1875*m ||                                                    /                                                                                                                                                                                                                                                                                               /                                                                                                                                                         /           /                |                  4 |    5   1875*m ||                                                                 ||
|    ||        /                                                                                                                                                         /           /                 |         12   25*m *|11*m  - -------||                       /              8\           /                                                                                                                                                                      /                                                                                                                                                         /           /                 |         12   25*m *|11*m  - -------||                       /              8\                                                                                                                                                  || |    ||      /                                                                                                                                                                      /                                                                                                                                                         /           /                 |         12   25*m *|11*m  - -------||                       /              8\                                                                                                                                     /                                                                                                                                                         /           /                 |         12   25*m *|11*m  - -------||                       /              8\                        || |    ||      /                                                                                                                                                         /           /                 |         12   25*m *|11*m  - -------||                       /              8\           /                                                                                                                                                                                                                                                                                               /                                                                                                                                                         /           /                 |         12   25*m *|11*m  - -------||                       /              8\                         || |    ||      /                                                                                                                                                         /           /                 |         12   25*m *|11*m  - -------||                       /              8\           /                                                                                                                                                                                                                                                                                               /                                                                                                                                                         /           /                 |         12   25*m *|11*m  - -------||                       /              8\                         ||
|    ||       /                                                                                                                                                         /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |          /                                                                                                                                                                      /                                                                                                                                                         /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                                                                                                                                                  || |    ||     /                                                                                                                                                                      /                                                                                                                                                         /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                                                                                                                                    /                                                                                                                                                         /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                        || |    ||     /                                                                                                                                                         /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |          /                                                                                                                                                                                                                                                                                               /                                                                                                                                                         /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                         || |    ||     /                                                                                                                                                         /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |          /                                                                                                                                                                                                                                                                                               /                                                                                                                                                         /           /                  |  46875*m           \          256  /|                     4 |    5   1875*m |                         ||
|    ||      /                                                                                                                                                         /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|         /                                                                                                                                                                      /                                                                                                                                                         /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|                                                                                                                                                  || |    ||    /                                                                                                                                                                      /                                                                                                                                                         /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|                                                                                                                                   /                                                                                                                                                         /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|                        || |    ||    /                                                                                                                                                         /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|         /                                                                                                                                                                                                                                                                                               /                                                                                                                                                         /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|                         || |    ||    /                                                                                                                                                         /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|         /                                                                                                                                                                                                                                                                                               /                                                                                                                                                         /           /              15   |- --------- - -----------------------|            12   25*m *|11*m  - -------|                         ||
|    ||     /                                                                                                                                                         /           /         1331*m     \     2048                8           /     46875*m           \          256  /        /                                                                                                                                                                      /                                                                                                                                                         /           /         1331*m     \     2048                8           /     46875*m           \          256  /                                                                                                                                                  || |    ||   /                                                                                                                                                                      /                                                                                                                                                         /           /         1331*m     \     2048                8           /     46875*m           \          256  /                                                                                                                                  /                                                                                                                                                         /           /         1331*m     \     2048                8           /     46875*m           \          256  /                        || |    ||   /                                                                                                                                                         /           /         1331*m     \     2048                8           /     46875*m           \          256  /        /                                                                                                                                                                                                                                                                                               /                                                                                                                                                         /           /         1331*m     \     2048                8           /     46875*m           \          256  /                         || |    ||   /                                                                                                                                                         /           /         1331*m     \     2048                8           /     46875*m           \          256  /        /                                                                                                                                                                                                                                                                                               /                                                                                                                                                         /           /         1331*m     \     2048                8           /     46875*m           \          256  /                         ||
|    ||    /                                                                                                                                                     3*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------       /                                                                                                                                                                      /                                                                                                                                                     3*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------                                                                                                                                  2               || |    ||  /                                                                                                                                                                      /                                                                                                                                                     3*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------                                                                                                                                 /                                                                                                                                                     3*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------        2               || |    ||  /                                                                                                                                                     3*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------       /                                                                                                                                                                                                                                                                                               /                                                                                                                                                     3*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------         2               || |    ||  /                                                                                                                                                     3*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------       /                                                                                                                                                                                                                                                                                               /                                                                                                                                                     3*3 /           /        - -------- + ----------------------------------------  + --------- + -----------------------         2               ||
|    ||  \/                                                                                                                                                        \/          \/              27                         4                           4096                16               \/                                                                                                                                                                     \/                                                                                                                                                        \/          \/              27                         4                           4096                16                                                                                                                                         5*m                || |    ||\/                                                                                                                                                                     \/                                                                                                                                                        \/          \/              27                         4                           4096                16                                                                                                                                         \/                                                                                                                                                        \/          \/              27                         4                           4096                16               5*m                || |    ||\/                                                                                                                                                        \/          \/              27                         4                           4096                16               \/                                                                                                                                                                                                                                                                                              \/                                                                                                                                                        \/          \/              27                         4                           4096                16                5*m                || |    ||\/                                                                                                                                                        \/          \/              27                         4                           4096                16               \/                                                                                                                                                                                                                                                                                              \/                                                                                                                                                        \/          \/              27                         4                           4096                16                5*m                ||
|    ||- ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----    otherwise  || |    ||-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----    otherwise  || |    ||------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----    otherwise  || |    ||------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----    otherwise  ||
\    \\                                                                                                                                         2                                                                                                                                                                                                                                                                                                                                                                                                                                 2                                                                                                                                                                                                                                                                                            4                 // \    \\                                                                                                                                                                                                                                                                                       2                                                                                                                                                                                                                                                                                                                                                                                                                                  2                                                                                                                                           4                 // \    \\                                                                                                                                       2                                                                                                                                                                                                                                                                                                                                                                                                                                 2                                                                                                                                                                                                                                                                                            4                 // \    \\                                                                                                                                       2                                                                                                                                                                                                                                                                                                                                                                                                                                 2                                                                                                                                                                                                                                                                                            4                 //
$$\left(n - \begin{cases} \frac{5 m^{2}}{4} - \frac{\sqrt{\frac{25 m^{4}}{4} - 2 \sqrt[3]{- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}}}}{2} - \frac{\sqrt{- \frac{125 m^{6}}{4 \sqrt{\frac{25 m^{4}}{4} - 2 \sqrt[3]{- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}}}} + \frac{25 m^{4}}{2} + 2 \sqrt[3]{- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}}}}{2} & \text{for}\: 11 m^{5} = 0 \\\frac{5 m^{2}}{4} - \frac{\sqrt{\frac{22 m^{5}}{3 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}} + \frac{25 m^{4}}{4} + 2 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}}}{2} - \frac{\sqrt{- \frac{125 m^{6}}{4 \sqrt{\frac{22 m^{5}}{3 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}} + \frac{25 m^{4}}{4} + 2 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}}} - \frac{22 m^{5}}{3 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}} + \frac{25 m^{4}}{2} - 2 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}}}{2} & \text{otherwise} \end{cases}\right) \left(n - \begin{cases} \frac{5 m^{2}}{4} - \frac{\sqrt{\frac{25 m^{4}}{4} - 2 \sqrt[3]{- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}}}}{2} + \frac{\sqrt{- \frac{125 m^{6}}{4 \sqrt{\frac{25 m^{4}}{4} - 2 \sqrt[3]{- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}}}} + \frac{25 m^{4}}{2} + 2 \sqrt[3]{- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}}}}{2} & \text{for}\: 11 m^{5} = 0 \\\frac{5 m^{2}}{4} - \frac{\sqrt{\frac{22 m^{5}}{3 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}} + \frac{25 m^{4}}{4} + 2 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}}}{2} + \frac{\sqrt{- \frac{125 m^{6}}{4 \sqrt{\frac{22 m^{5}}{3 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}} + \frac{25 m^{4}}{4} + 2 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}}} - \frac{22 m^{5}}{3 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}} + \frac{25 m^{4}}{2} - 2 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}}}{2} & \text{otherwise} \end{cases}\right) \left(n - \begin{cases} \frac{5 m^{2}}{4} + \frac{\sqrt{\frac{25 m^{4}}{4} - 2 \sqrt[3]{- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}}}}{2} - \frac{\sqrt{\frac{125 m^{6}}{4 \sqrt{\frac{25 m^{4}}{4} - 2 \sqrt[3]{- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}}}} + \frac{25 m^{4}}{2} + 2 \sqrt[3]{- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}}}}{2} & \text{for}\: 11 m^{5} = 0 \\\frac{5 m^{2}}{4} + \frac{\sqrt{\frac{22 m^{5}}{3 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}} + \frac{25 m^{4}}{4} + 2 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}}}{2} - \frac{\sqrt{\frac{125 m^{6}}{4 \sqrt{\frac{22 m^{5}}{3 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}} + \frac{25 m^{4}}{4} + 2 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}}} - \frac{22 m^{5}}{3 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}} + \frac{25 m^{4}}{2} - 2 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}}}{2} & \text{otherwise} \end{cases}\right) \left(n - \begin{cases} \frac{5 m^{2}}{4} + \frac{\sqrt{\frac{25 m^{4}}{4} - 2 \sqrt[3]{- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}}}}{2} + \frac{\sqrt{\frac{125 m^{6}}{4 \sqrt{\frac{25 m^{4}}{4} - 2 \sqrt[3]{- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}}}} + \frac{25 m^{4}}{2} + 2 \sqrt[3]{- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}}}}{2} & \text{for}\: 11 m^{5} = 0 \\\frac{5 m^{2}}{4} + \frac{\sqrt{\frac{22 m^{5}}{3 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}} + \frac{25 m^{4}}{4} + 2 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}}}{2} + \frac{\sqrt{\frac{125 m^{6}}{4 \sqrt{\frac{22 m^{5}}{3 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}} + \frac{25 m^{4}}{4} + 2 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}}} - \frac{22 m^{5}}{3 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}} + \frac{25 m^{4}}{2} - 2 \sqrt[3]{\frac{46875 m^{12}}{4096} + \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{16} + \sqrt{- \frac{1331 m^{15}}{27} + \frac{\left(- \frac{46875 m^{12}}{2048} - \frac{25 m^{4} \left(- \frac{1875 m^{8}}{256} + 11 m^{5}\right)}{8}\right)^{2}}{4}}}}}{2} & \text{otherwise} \end{cases}\right)$$
Комбинаторика [src]
 4       5      2  3
n  + 11*m  - 5*m *n 
$$11 m^{5} - 5 m^{2} n^{3} + n^{4}$$
Объединение рациональных выражений [src]
 4    2 /     3       3\
n  + m *\- 5*n  + 11*m /
$$m^{2} \left(11 m^{3} - 5 n^{3}\right) + n^{4}$$
Общее упрощение [src]
 4       5      2  3
n  + 11*m  - 5*m *n 
$$11 m^{5} - 5 m^{2} n^{3} + n^{4}$$
Собрать выражение [src]
 4       5      2  3
n  + 11*m  - 5*m *n 
$$11 m^{5} - 5 m^{2} n^{3} + n^{4}$$