Общий множитель X^4-X^3-2*X^2*Y+Y^2+X

Учитель очень удивится увидев твоё верное решение 😼

Решение

Комбинаторика [src]
     4    2    3        2
x + x  + y  - x  - 2*y*x 
$$x^{4} - x^{3} - 2 x^{2} y + x + y^{2}$$
Разложение на множители [src]
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|    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           /             /             2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 /             /             2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           /             /             2               3   (-3/8 - 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2*y)*|--- + y  - -|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           ||
|    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          /    1        /     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    8*y                                          7/4 - 2*y                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                /    1        /     (7/8 - 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|    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         /     - + 2*3 /    - ---------- - ------------- + ---------------------------  + --- + ---------------------------------------------------------------------------------------                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               /     - + 2*3 /    - ---------- - ------------- + ---------------------------  + --- + ---------------------------------------------------------------------------------------                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         /     - + 2*3 /    - ---------- - ------------- + ---------------------------  + --- - ---------------------------------------------------------------------------------------                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         /     - + 2*3 /    - ---------- - ------------- + ---------------------------  + --- - ---------------------------------------------------------------------------------------                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ||
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2*y)*|--- + y  - -|                /             /             2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           /             /             2               3   (-3/8 - 2*y)*|--- + y  - -|               /                                                                                              /             /             2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           /             /             2               3   (-3/8 - 2*y)*|--- + y  - -|               /                                                                                              /             /             2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ||
|    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          /    1        /     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    4*y       /                                                                                              /    1        /     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    4*y                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          /                                                                                              /    1        /     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    4*y        /    1        /     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    4*y                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          /    1        /     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    4*y       /                                                                                              /    1        /     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    4*y                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          /    1        /     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    4*y       /                                                                                              /    1        /     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    4*y                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           ||
|    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         /     - - 2*3 /    - ---------- - ------------- + ---------------------------  + ---      /                                                                                              /     - - 2*3 /    - ---------- - ------------- + ---------------------------  + ---                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2    || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         /                                                                                              /     - - 2*3 /    - ---------- - ------------- + ---------------------------  + ---       /     - - 2*3 /    - ---------- - ------------- + ---------------------------  + ---                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     2    || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         /     - - 2*3 /    - ---------- - ------------- + ---------------------------  + ---      /                                                                                              /     - - 2*3 /    - ---------- - ------------- + ---------------------------  + ---                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2    || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         /     - - 2*3 /    - ---------- - ------------- + ---------------------------  + ---      /                                                                                              /     - - 2*3 /    - ---------- - ------------- + ---------------------------  + ---                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2    ||
|    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   1   \/      4     \/           8             108                     3                  3     \/                                                                                             \/      4     \/           8             108                     3                  3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             61    2   y   (-3/8 - 2*y)     || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   1   \/                                                                                             \/      4     \/           8             108                     3                  3      \/      4     \/           8             108                     3                  3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            61    2   y   (-3/8 - 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2*y)     ||
|    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   - - --------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     for --- + y  - 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- + ------------- = 0|| |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   - + --------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     for --- + y  - - + ------------- = 0|| |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   - + --------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     for --- + y  - - + ------------- = 0||
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y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |   61    2   (-3/8 - 2*y)    y|                                                                                                                || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                            /                 /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |   61    2   (-3/8 - 2*y)    y|                                                                                                                ||
|    ||                                                                                                                                                                                                                                                                                                                                                                                                                                           /                 /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2*|- --- - y  - ------------- + -|                                                                                                                || |    ||                           /                 /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2*|- --- - y  - ------------- + -|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                           /                 /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2*|- --- - y  - ------------- + -|                                                                                                                || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                           /                 /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2*|- --- - y  - ------------- + -|                                                                                                                ||
|x - |<                                                                                                                                                                                                                                                                                                                                                                                                                                          /        1        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    8*y                                                                                                                                                                                                     7/4 - 2*y                                                                                                                                                                                                                                                                                 \  256              12        8/                                                                                                                ||*|x - |<                          /        1        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    8*y                                                                                                                                                                                                     7/4 - 2*y                                                                                                                                                                                                                                                                                 \  256              12        8/                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ||*|x - |<                                                                                                                                                                                                                                                                                                                                                                                                                                          /        1        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    8*y                                                                                                                                                                                                     7/4 - 2*y                                                                                                                                                                                                                                                                                 \  256              12        8/                                                                                                                ||*|x - |<                                                                                                                                                                                                                                                                                                                                                                                                                                          /        1        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    8*y                                                                                                                                                                                                     7/4 - 2*y                                                                                                                                                                                                                                                                                 \  256              12        8/                                                                                                                ||
|    ||                                                                                                                                                                                                                                                                                                                                                                                                                                         /         - - 2*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------  + --- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------                                       || |    ||                         /         - - 2*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------  + --- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------                                                                                                                                                                                                                                                                                                                                                                                                                                                       || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                         /         - - 2*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------  + --- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------                                       || |    ||                                                                                                                                                                                                                                                                                                                                                                                                                                         /         - - 2*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------  + --- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------                                       ||
|    ||                        _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                       /          2     \/         \/                                      4                                                 27                       16            216                     6                  3                        _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________               _________________________________________________________________________________________________________________________________________________________________________                                       || |    ||                        /          2     \/         \/                                      4                                                 27                       16            216                     6                  3                        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_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________               _________________________________________________________________________________________________________________________________________________________________________                                       || |    ||                        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            3                                                                                  /                 /          /                                                             2                                                                                                                                                                                                                                                                                                                                      || |    ||                     /                 /          /                                                             2                                                                                                                                                                                                                                                                                                                    /                                                        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|    ||                    /                 /          /  /                                            / 61    2   y\\                                    3                                                                                                                                                                                                                                                                               /                                                                                                                                                                                                                                /                 /          /  /                                            / 61    2   y\\                                    3                                                                                                                                                                                                                                                                       /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                                                     || |    ||                    /                                                                                                                                                                                                                                /                 /          /  /                                            / 61    2   y\\                                    3                                                                                                                                                                                                                                                                       /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                                  /                 /          /  /                                            / 61    2   y\\                                    3                                                                                                                                                                                                                                                                                                  || |    ||                    /                 /          /  /                                            / 61    2   y\\                                    3                                                                                                                                                                                                                                                                               /                                                                                                                                                                                                                                /                 /          /  /                                            / 61    2   y\\                                    3                                                                                                                                                                                                                                                                       /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                                                     || |    ||                    /                 /          /  /                                            / 61    2   y\\                                    3                                                                                                                                                                                                                                                                               /                                                                                                                                                                                                                                /                 /          /  /                                            / 61    2   y\\                                    3                                                                                                                                                                                                                                                                       /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                                                     ||
|    ||                   /                 /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                                                                                                   /                         2    \                                                                                            /                                                                                                                                                                                                                                /                 /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                                                                                                   /                         2    \                                                                                    /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                        || |    ||                   /                                                                                                                                                                                                                                /                 /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                                                                                                   /                         2    \                                                                                    /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                    /                 /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                                                                                                   /                         2    \                                                                                                                || |    ||                   /                 /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                                                                                                   /                         2    \                                                                                            /                                                                                                                                                                                                                                /                 /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                                                                                                   /                         2    \                                                                                    /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                        || |    ||                   /                 /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                                                                                                   /                         2    \                                                                                            /                                                                                                                                                                                                                                /                 /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                                                                                                   /                         2    \                                                                                    /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                        ||
|    ||                  /                 /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                                                                      |   61    2   (-3/8 - 2*y)    y|                                                                                           /                                                                                                                                                                                                                                /                 /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                                                                      |   61    2   (-3/8 - 2*y)    y|                                                                                   /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                        || |    ||                  /                                                                                                                                                                                                                                /                 /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                                                                      |   61    2   (-3/8 - 2*y)    y|                                                                                   /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                   /                 /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                                                                      |   61    2   (-3/8 - 2*y)    y|                                                                                                                || |    ||                  /                 /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                                                                      |   61    2   (-3/8 - 2*y)    y|                                                                                           /                                                                                                                                                                                                                                /                 /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                                                                      |   61    2   (-3/8 - 2*y)    y|                                                                                   /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                        || |    ||                  /                 /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                                                                      |   61    2   (-3/8 - 2*y)    y|                                                                                           /                                                                                                                                                                                                                                /                 /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                                                                      |   61    2   (-3/8 - 2*y)    y|                                                                                   /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                        ||
|    ||                 /                 /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                    2*|- --- - y  - ------------- + -|                                                                                          /                                                                                                                                                                                                                                /                 /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                    2*|- --- - y  - ------------- + -|                                                                                  /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/                                        || |    ||                 /                                                                                                                                                                                                                                /                 /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                    2*|- --- - y  - ------------- + -|                                                                                  /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/                  /                 /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                    2*|- --- - y  - ------------- + -|                                                                                                                || |    ||                 /                 /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                    2*|- --- - y  - ------------- + -|                                                                                          /                                                                                                                                                                                                                                /                 /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                    2*|- --- - y  - ------------- + -|                                                                                  /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/                                        || |    ||                 /                 /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                    2*|- --- - y  - ------------- + -|                                                                                          /                                                                                                                                                                                                                                /                 /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                    2*|- --- - y  - ------------- + -|                                                                                  /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/                                        ||
|    ||                /        1        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    4*y                                                                               \  256              12        8/                                                                                         /                                                                                                                                                                                                                                /        1        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    4*y                                                                               \  256              12        8/                                                                             3*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------                                        || |    ||                /                                                                                                                                                                                                                                /        1        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    4*y                                                                               \  256              12        8/                                                                             3*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------                 /        1        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    4*y                                                                               \  256              12        8/                                                                                                                || |    ||                /        1        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    4*y                                                                               \  256              12        8/                                                                                         /                                                                                                                                                                                                                                /        1        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    4*y                                                                               \  256              12        8/                                                                             3*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------                                        || |    ||                /        1        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    4*y                                                                               \  256              12        8/                                                                                         /                                                                                                                                                                                                                                /        1        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/    4*y                                                                               \  256              12        8/                                                                             3*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------                                        ||
|    ||               /         - + 2*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------  + --- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------               /                                                                                                                                                                                                                                /         - + 2*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------  + --- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------      \/         \/                                      4                                                 27                       16            216                     6                                                     || |    ||               /                                                                                                                                                                                                                                /         - + 2*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------  + --- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------      \/         \/                                      4                                                 27                       16            216                     6                             /         - + 2*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------  + --- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------                                       || |    ||               /         - + 2*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------  + --- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------               /                                                                                                                                                                                                                                /         - + 2*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------  + --- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------      \/         \/                                      4                                                 27                       16            216                     6                                                     || |    ||               /         - + 2*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------  + --- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------               /                                                                                                                                                                                                                                /         - + 2*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------  + --- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------      \/         \/                                      4                                                 27                       16            216                     6                                                     ||
|    ||              /          4     \/         \/                                      4                                                 27                       16            216                     6                  3                _________________________________________________________________________________________________________________________________________________________________________              /                                                                                                                                                                                                                                /          4     \/         \/                                      4                                                 27                       16            216                     6                  3                _________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                || |    ||              /                                                                                                                                                                                                                                /          4     \/         \/                                      4                                                 27                       16            216                     6                  3                _________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                       /          4     \/         \/                                      4                                                 27                       16            216                     6                  3                _________________________________________________________________________________________________________________________________________________________________________                                       || |    ||              /          4     \/         \/                                      4                                                 27                       16            216                     6                  3                _________________________________________________________________________________________________________________________________________________________________________              /                                                                                                                                                                                                                                /          4     \/         \/                                      4                                                 27                       16            216                     6                  3                _________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                || |    ||              /          4     \/         \/                                      4                                                 27                       16            216                     6                  3                _________________________________________________________________________________________________________________________________________________________________________              /                                                                                                                                                                                                                                /          4     \/         \/                                      4                                                 27                       16            216                     6                  3                _________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                ||
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|    ||          /                                                                                                                                                                                                                        /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                        /                                                                                                                                                                                                                                /                                                                                                                                                                                                                        /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                                                                                                                                                                                                                                              || |    ||          /                                                                                                                                                                                                                                /                                                                                                                                                                                                                        /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                                                                                                                                                                                                                 /                                                                                                                                                                                                                        /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                                                     || |    ||          /                                                                                                                                                                                                                        /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                        /                                                                                                                                                                                                                                /                                                                                                                                                                                                                        /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                                                                                                                                                                                                                                              || |    ||          /                                                                                                                                                                                                                        /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                        /                                                                                                                                                                                                                                /                                                                                                                                                                                                                        /          /   |           2               3   (-3/8 - 2*y)*|--- + y  - -||    /                         2    \                                                                                                                                                                                                                                                                                              ||
|    ||         /                                                                                                                                                                                                                        /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\          /                                                                                                                                                                                                                                /                                                                                                                                                                                                                        /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                                                                                                                                                                                                                 || |    ||         /                                                                                                                                                                                                                                /                                                                                                                                                                                                                        /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                                                                                                                                                                                   /                                                                                                                                                                                                                        /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                        || |    ||         /                                                                                                                                                                                                                        /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\          /                                                                                                                                                                                                                                /                                                                                                                                                                                                                        /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                                                                                                                                                                                                                 || |    ||         /                                                                                                                                                                                                                        /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\          /                                                                                                                                                                                                                                /                                                                                                                                                                                                                        /          /    |  (7/8 - y)    (-3/8 - 2*y)                 \256        8/|    |   61    2   (-3/8 - 2*y)    y|                                               / 61    2   y\                                                                                                                                                                                                                                 ||
|    ||        /                                                                                                                                                                                                                        /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|         /                                                                                                                                                                                                                                /                                                                                                                                                                                                                        /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                                                                                                                                                                 || |    ||        /                                                                                                                                                                                                                                /                                                                                                                                                                                                                        /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                                                                                                                                  /                                                                                                                                                                                                                        /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                        || |    ||        /                                                                                                                                                                                                                        /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|         /                                                                                                                                                                                                                                /                                                                                                                                                                                                                        /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                                                                                                                                                                 || |    ||        /                                                                                                                                                                                                                        /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|         /                                                                                                                                                                                                                                /                                                                                                                                                                                                                        /          /     |- ---------- - ------------- + ---------------------------|    |- --- - y  - ------------- + -|              2               3   (-3/8 - 2*y)*|--- + y  - -|                                                                                                                                                                                                                                 ||
|    ||       /                                                                                                                                                                                                                        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/        /                                                                                                                                                                                                                                /                                                                                                                                                                                                                        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/                                                                                                                                                                                                                                 || |    ||       /                                                                                                                                                                                                                                /                                                                                                                                                                                                                        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/                                                                                                                                                                                                 /                                                                                                                                                                                                                        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/                                        || |    ||       /                                                                                                                                                                                                                        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/        /                                                                                                                                                                                                                                /                                                                                                                                                                                                                        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/                                                                                                                                                                                                                                 || |    ||       /                                                                                                                                                                                                                        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/        /                                                                                                                                                                                                                                /                                                                                                                                                                                                                        /          /      \      8             108                     3             /    \  256              12        8/     (7/8 - y)    (-3/8 - 2*y)                 \256        8/                                                                                                                                                                                                                                 ||
|    ||      /                                                                                                                                                                                                                    3*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------       /                                                                                                                                                                                                                                /                                                                                                                                                                                                                    3*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------                                                                                                                                                                                                                                 || |    ||      /                                                                                                                                                                                                                                /                                                                                                                                                                                                                    3*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------                                                                                                                                                                                                /                                                                                                                                                                                                                    3*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------                                        || |    ||      /                                                                                                                                                                                                                    3*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------       /                                                                                                                                                                                                                                /                                                                                                                                                                                                                    3*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------                                                                                                                                                                                                                                 || |    ||      /                                                                                                                                                                                                                    3*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------       /                                                                                                                                                                                                                                /                                                                                                                                                                                                                    3*3 /          /       ------------------------------------------------------------- + ---------------------------------  + ---------- + ------------- - ---------------------------                                                                                                                                                                                                                                 ||
|    ||1   \/                                                                                                                                                                                                                       \/         \/                                      4                                                 27                       16            216                     6                  \/                                                                                                                                                                                                                               \/                                                                                                                                                                                                                       \/         \/                                      4                                                 27                       16            216     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|    ||- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------               otherwise              || |    ||- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - 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\    \\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   // \    \\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 //
$$\left(x - \begin{cases} - \frac{\sqrt{\frac{4 y}{3} - 2 \sqrt[3]{- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}} + \frac{1}{4}}}{2} - \frac{\sqrt{\frac{8 y}{3} + \frac{\frac{7}{4} - 2 y}{\sqrt{\frac{4 y}{3} - 2 \sqrt[3]{- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}} + \frac{1}{4}}} + 2 \sqrt[3]{- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}} + \frac{1}{2}}}{2} + \frac{1}{4} & \text{for}\: y^{2} - \frac{y}{8} + \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} + \frac{61}{256} = 0 \\- \frac{\sqrt{\frac{4 y}{3} - \frac{2 \left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)}{3 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}}} + 2 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}} + \frac{1}{4}}}{2} - \frac{\sqrt{\frac{8 y}{3} + \frac{\frac{7}{4} - 2 y}{\sqrt{\frac{4 y}{3} - \frac{2 \left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)}{3 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}}} + 2 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}} + \frac{1}{4}}} + \frac{2 \left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)}{3 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}}} - 2 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}} + \frac{1}{2}}}{2} + \frac{1}{4} & \text{otherwise} \end{cases}\right) \left(x - \begin{cases} - \frac{\sqrt{\frac{4 y}{3} - 2 \sqrt[3]{- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}} + \frac{1}{4}}}{2} + \frac{\sqrt{\frac{8 y}{3} + \frac{\frac{7}{4} - 2 y}{\sqrt{\frac{4 y}{3} - 2 \sqrt[3]{- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}} + \frac{1}{4}}} + 2 \sqrt[3]{- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}} + \frac{1}{2}}}{2} + \frac{1}{4} & \text{for}\: y^{2} - \frac{y}{8} + \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} + \frac{61}{256} = 0 \\- \frac{\sqrt{\frac{4 y}{3} - \frac{2 \left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)}{3 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}}} + 2 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}} + \frac{1}{4}}}{2} + \frac{\sqrt{\frac{8 y}{3} + \frac{\frac{7}{4} - 2 y}{\sqrt{\frac{4 y}{3} - \frac{2 \left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)}{3 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}}} + 2 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}} + \frac{1}{4}}} + \frac{2 \left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)}{3 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}}} - 2 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}} + \frac{1}{2}}}{2} + \frac{1}{4} & \text{otherwise} \end{cases}\right) \left(x - \begin{cases} \frac{\sqrt{\frac{4 y}{3} - 2 \sqrt[3]{- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}} + \frac{1}{4}}}{2} - \frac{\sqrt{\frac{8 y}{3} - \frac{\frac{7}{4} - 2 y}{\sqrt{\frac{4 y}{3} - 2 \sqrt[3]{- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}} + \frac{1}{4}}} + 2 \sqrt[3]{- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}} + \frac{1}{2}}}{2} + \frac{1}{4} & \text{for}\: y^{2} - \frac{y}{8} + \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} + \frac{61}{256} = 0 \\\frac{\sqrt{\frac{4 y}{3} - \frac{2 \left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)}{3 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}}} + 2 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}} + \frac{1}{4}}}{2} - \frac{\sqrt{\frac{8 y}{3} - \frac{\frac{7}{4} - 2 y}{\sqrt{\frac{4 y}{3} - \frac{2 \left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)}{3 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}}} + 2 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}} + \frac{1}{4}}} + \frac{2 \left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)}{3 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}}} - 2 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}} + \frac{1}{2}}}{2} + \frac{1}{4} & \text{otherwise} \end{cases}\right) \left(x - \begin{cases} \frac{\sqrt{\frac{4 y}{3} - 2 \sqrt[3]{- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}} + \frac{1}{4}}}{2} + \frac{\sqrt{\frac{8 y}{3} - \frac{\frac{7}{4} - 2 y}{\sqrt{\frac{4 y}{3} - 2 \sqrt[3]{- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}} + \frac{1}{4}}} + 2 \sqrt[3]{- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}} + \frac{1}{2}}}{2} + \frac{1}{4} & \text{for}\: y^{2} - \frac{y}{8} + \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} + \frac{61}{256} = 0 \\\frac{\sqrt{\frac{4 y}{3} - \frac{2 \left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)}{3 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}}} + 2 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}} + \frac{1}{4}}}{2} + \frac{\sqrt{\frac{8 y}{3} - \frac{\frac{7}{4} - 2 y}{\sqrt{\frac{4 y}{3} - \frac{2 \left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)}{3 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}}} + 2 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}} + \frac{1}{4}}} + \frac{2 \left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)}{3 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}}} - 2 \sqrt[3]{\frac{\left(\frac{7}{8} - y\right)^{2}}{16} + \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{216} - \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{6} + \sqrt{\frac{\left(- \frac{\left(\frac{7}{8} - y\right)^{2}}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{3}}{108} + \frac{\left(- 2 y - \frac{3}{8}\right) \left(y^{2} - \frac{y}{8} + \frac{61}{256}\right)}{3}\right)^{2}}{4} + \frac{\left(- y^{2} + \frac{y}{8} - \frac{\left(- 2 y - \frac{3}{8}\right)^{2}}{12} - \frac{61}{256}\right)^{3}}{27}}} + \frac{1}{2}}}{2} + \frac{1}{4} & \text{otherwise} \end{cases}\right)$$
Объединение рациональных выражений [src]
     2    2                    
x + y  + x *(-2*y + x*(-1 + x))
$$x^{2} \left(x \left(x - 1\right) - 2 y\right) + x + y^{2}$$
Общее упрощение [src]
     4    2    3        2
x + x  + y  - x  - 2*y*x 
$$x^{4} - x^{3} - 2 x^{2} y + x + y^{2}$$
Собрать выражение [src]
     4    2    3        2
x + x  + y  - x  - 2*y*x 
$$x^{4} - x^{3} - 2 x^{2} y + x + y^{2}$$