Разложить многочлен на множители 8*x^7-3*x^3+12*x*y^7-39

Разложение на множители

/                  ____________________\ /                  ____________________                           ____________________        \ /                  ____________________                           ____________________        \ /                    ____________________                             ____________________          \ /                    ____________________                             ____________________          \ /                  ____________________                             ____________________          \ /                  ____________________                             ____________________          \
|    7 _______    /      6      2   39 | |    7 _______    /      6      2   39     /pi\     7 _______    /      6      2   39     /pi\| |    7 _______    /      6      2   39     /pi\     7 _______    /      6      2   39     /pi\| |      7 _______    /      6      2   39     /2*pi\     7 _______    /      6      2   39     /2*pi\| |      7 _______    /      6      2   39     /2*pi\     7 _______    /      6      2   39     /2*pi\| |    7 _______    /      6      2   39     /3*pi\     7 _______    /      6      2   39     /3*pi\| |    7 _______    /      6      2   39     /3*pi\     7 _______    /      6      2   39     /3*pi\|
|    \/ 23328 *7 /  - 8*x  + 3*x  + -- | |    \/ 23328 *7 /  - 8*x  + 3*x  + -- *cos|--|   I*\/ 23328 *7 /  - 8*x  + 3*x  + -- *sin|--|| |    \/ 23328 *7 /  - 8*x  + 3*x  + -- *cos|--|   I*\/ 23328 *7 /  - 8*x  + 3*x  + -- *sin|--|| |      \/ 23328 *7 /  - 8*x  + 3*x  + -- *cos|----|   I*\/ 23328 *7 /  - 8*x  + 3*x  + -- *sin|----|| |      \/ 23328 *7 /  - 8*x  + 3*x  + -- *cos|----|   I*\/ 23328 *7 /  - 8*x  + 3*x  + -- *sin|----|| |    \/ 23328 *7 /  - 8*x  + 3*x  + -- *cos|----|   I*\/ 23328 *7 /  - 8*x  + 3*x  + -- *sin|----|| |    \/ 23328 *7 /  - 8*x  + 3*x  + -- *cos|----|   I*\/ 23328 *7 /  - 8*x  + 3*x  + -- *sin|----||
|              \/                   x  | |              \/                   x      \7 /               \/                   x      \7 /| |              \/                   x      \7 /               \/                   x      \7 /| |                \/                   x      \ 7  /               \/                   x      \ 7  /| |                \/                   x      \ 7  /               \/                   x      \ 7  /| |              \/                   x      \ 7  /               \/                   x      \ 7  /| |              \/                   x      \ 7  /               \/                   x      \ 7  /|
|y - ----------------------------------|*|y + ------------------------------------------ + --------------------------------------------|*|y + ------------------------------------------ - --------------------------------------------|*|y + - -------------------------------------------- + ----------------------------------------------|*|y + - -------------------------------------------- - ----------------------------------------------|*|y + -------------------------------------------- + ----------------------------------------------|*|y + -------------------------------------------- - ----------------------------------------------|
\                    6                 / \                        6                                             6                      / \                        6                                             6                      / \                           6                                               6                       / \                           6                                               6                       / \                         6                                               6                       / \                         6                                               6                       /

$$\left(y - \frac{\sqrt[7]{23328} \sqrt[7]{- 8 x^{6} + 3 x^{2} + \frac{39}{x}}}{6}\right) \left(y + \left(\frac{\sqrt[7]{23328} \sqrt[7]{- 8 x^{6} + 3 x^{2} + \frac{39}{x}} \cos{\left(\frac{\pi}{7} \right)}}{6} + \frac{\sqrt[7]{23328} i \sqrt[7]{- 8 x^{6} + 3 x^{2} + \frac{39}{x}} \sin{\left(\frac{\pi}{7} \right)}}{6}\right)\right) \left(y + \left(\frac{\sqrt[7]{23328} \sqrt[7]{- 8 x^{6} + 3 x^{2} + \frac{39}{x}} \cos{\left(\frac{\pi}{7} \right)}}{6} - \frac{\sqrt[7]{23328} i \sqrt[7]{- 8 x^{6} + 3 x^{2} + \frac{39}{x}} \sin{\left(\frac{\pi}{7} \right)}}{6}\right)\right) \left(y + \left(- \frac{\sqrt[7]{23328} \sqrt[7]{- 8 x^{6} + 3 x^{2} + \frac{39}{x}} \cos{\left(\frac{2 \pi}{7} \right)}}{6} + \frac{\sqrt[7]{23328} i \sqrt[7]{- 8 x^{6} + 3 x^{2} + \frac{39}{x}} \sin{\left(\frac{2 \pi}{7} \right)}}{6}\right)\right) \left(y + \left(- \frac{\sqrt[7]{23328} \sqrt[7]{- 8 x^{6} + 3 x^{2} + \frac{39}{x}} \cos{\left(\frac{2 \pi}{7} \right)}}{6} - \frac{\sqrt[7]{23328} i \sqrt[7]{- 8 x^{6} + 3 x^{2} + \frac{39}{x}} \sin{\left(\frac{2 \pi}{7} \right)}}{6}\right)\right) \left(y + \left(\frac{\sqrt[7]{23328} \sqrt[7]{- 8 x^{6} + 3 x^{2} + \frac{39}{x}} \cos{\left(\frac{3 \pi}{7} \right)}}{6} + \frac{\sqrt[7]{23328} i \sqrt[7]{- 8 x^{6} + 3 x^{2} + \frac{39}{x}} \sin{\left(\frac{3 \pi}{7} \right)}}{6}\right)\right) \left(y + \left(\frac{\sqrt[7]{23328} \sqrt[7]{- 8 x^{6} + 3 x^{2} + \frac{39}{x}} \cos{\left(\frac{3 \pi}{7} \right)}}{6} - \frac{\sqrt[7]{23328} i \sqrt[7]{- 8 x^{6} + 3 x^{2} + \frac{39}{x}} \sin{\left(\frac{3 \pi}{7} \right)}}{6}\right)\right)$$

Объединение рациональных выражений

        /    7    2 /        4\\
-39 + x*\12*y  + x *\-3 + 8*x //

$$x \left(x^{2} \left(8 x^{4} - 3\right) + 12 y^{7}\right) - 39$$

Комбинаторика

         3      7         7
-39 - 3*x  + 8*x  + 12*x*y 

$$8 x^{7} - 3 x^{3} + 12 x y^{7} - 39$$