Калькуляторы онлайн/ Решение уравнений/ Упрощение выражений/ Разложить на множители/ 81-x^40

Разложить многочлен на множители 81-x^40

Учитель очень удивится увидев твоё верное решение 😼

Примеры

Решение

Комбинаторика [src]
 /      10\ /     10\ /     20\
-\-3 + x  /*\3 + x  /*\9 + x  /
−(x10−3)(x10+3)(x20+9)- \left(x^{10} - 3\right) \left(x^{10} + 3\right) \left(x^{20} + 9\right)
Разложение на множители [src]
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                                                                                                                                                                                                /                                       ___________\ /                                       ___________\ /                                         ___________\ /                                         ___________\ /                                       ___________\ /                                       ___________\ /                                         ___________\ /                                         ___________\ /               ___________                          \ /               ___________                          \ /                 ___________                          \ /                 ___________                          \ /               ___________                          \ /               ___________                          \ /                 ___________                          \ /                 ___________                          \ |                                   ___ 10___    /  5   \/ 5                                          ___ 10___    /  5   \/ 5  | |                                   ___ 10___    /  5   \/ 5                                          ___ 10___    /  5   \/ 5  | |                                   ___ 10___    /  5   \/ 5                                          ___ 10___    /  5   \/ 5  | |                                   ___ 10___    /  5   \/ 5                                          ___ 10___    /  5   \/ 5  | |                                   ___ 10___    /  5   \/ 5                                          ___ 10___    /  5   \/ 5  | |                                   ___ 10___    /  5   \/ 5                                          ___ 10___    /  5   \/ 5  | |                                     ___ 10___    /  5   \/ 5                                          ___ 10___    /  5   \/ 5  | |                                     ___ 10___    /  5   \/ 5                                          ___ 10___    /  5   \/ 5  | |                                   ___ 10___    /  5   \/ 5                                          ___ 10___    /  5   \/ 5  | |                                   ___ 10___    /  5   \/ 5                                          ___ 10___    /  5   \/ 5  | |                                     ___ 10___    /  5   \/ 5                                          ___ 10___    /  5   \/ 5  | |                                     ___ 10___    /  5   \/ 5                                          ___ 10___    /  5   \/ 5  | |                                   ___ 10___    /  5   \/ 5                                          ___ 10___    /  5   \/ 5  | |                                   ___ 10___    /  5   \/ 5                                          ___ 10___    /  5   \/ 5  | |                                   ___ 10___    /  5   \/ 5                                          ___ 10___    /  5   \/ 5  | |                                   ___ 10___    /  5   \/ 5                                          ___ 10___    /  5   \/ 5  |
                                                    /      ___ 10___       ___ 10___\ /      ___ 10___       ___ 10___\ /        ___ 10___       ___ 10___\ /        ___ 10___       ___ 10___\ |    10___   10___   ___               /       ___ | |    10___   10___   ___               /       ___ | |      10___   10___   ___               /       ___ | |      10___   10___   ___               /       ___ | |    10___   10___   ___               /       ___ | |    10___   10___   ___               /       ___ | |      10___   10___   ___               /       ___ | |      10___   10___   ___               /       ___ | |              /       ___      10___     10___   ___| |              /       ___      10___     10___   ___| |                /       ___      10___     10___   ___| |                /       ___      10___     10___   ___| |              /       ___      10___     10___   ___| |              /       ___      10___     10___   ___| |                /       ___      10___     10___   ___| |                /       ___      10___     10___   ___| |      ___ 10___   10___   ____   \/ 2 *\/ 3 *  /   - - -----        ___ 10___     10___   ____   I*\/ 2 *\/ 3 *  /   - - ----- | |      ___ 10___   10___   ____   \/ 2 *\/ 3 *  /   - - -----        ___ 10___     10___   ____   I*\/ 2 *\/ 3 *  /   - - ----- | |    10___   ____     ___ 10___   \/ 2 *\/ 3 *  /   - + -----        ___ 10___     10___   ____   I*\/ 2 *\/ 3 *  /   - + ----- | |    10___   ____     ___ 10___   \/ 2 *\/ 3 *  /   - + -----      10___   ____       ___ 10___   I*\/ 2 *\/ 3 *  /   - + ----- | |      ___ 10___   10___   ____   \/ 2 *\/ 3 *  /   - + -----      10___   ____       ___ 10___   I*\/ 2 *\/ 3 *  /   - + ----- | |      ___ 10___   10___   ____   \/ 2 *\/ 3 *  /   - + -----        ___ 10___     10___   ____   I*\/ 2 *\/ 3 *  /   - + ----- | |        ___ 10___   10___   ____   \/ 2 *\/ 3 *  /   - - -----        ___ 10___     10___   ____   I*\/ 2 *\/ 3 *  /   - - ----- | |        ___ 10___   10___   ____   \/ 2 *\/ 3 *  /   - - -----        ___ 10___     10___   ____   I*\/ 2 *\/ 3 *  /   - - ----- | |      ___ 10___   10___   ____   \/ 2 *\/ 3 *  /   - - -----        ___ 10___     10___   ____   I*\/ 2 *\/ 3 *  /   - - ----- | |      ___ 10___   10___   ____   \/ 2 *\/ 3 *  /   - - -----        ___ 10___     10___   ____   I*\/ 2 *\/ 3 *  /   - - ----- | |        ___ 10___   10___   ____   \/ 2 *\/ 3 *  /   - - -----        ___ 10___     10___   ____   I*\/ 2 *\/ 3 *  /   - - ----- | |        ___ 10___   10___   ____   \/ 2 *\/ 3 *  /   - - -----        ___ 10___     10___   ____   I*\/ 2 *\/ 3 *  /   - - ----- | |    10___   ____     ___ 10___   \/ 2 *\/ 3 *  /   - + -----      10___   ____       ___ 10___   I*\/ 2 *\/ 3 *  /   - + ----- | |    10___   ____     ___ 10___   \/ 2 *\/ 3 *  /   - + -----        ___ 10___     10___   ____   I*\/ 2 *\/ 3 *  /   - + ----- | |      ___ 10___   10___   ____   \/ 2 *\/ 3 *  /   - + -----        ___ 10___     10___   ____   I*\/ 2 *\/ 3 *  /   - + ----- | |      ___ 10___   10___   ____   \/ 2 *\/ 3 *  /   - + -----      10___   ____       ___ 10___   I*\/ 2 *\/ 3 *  /   - + ----- |
/    10___\ /    10___\ /      10___\ /      10___\ |    \/ 2 *\/ 3    I*\/ 2 *\/ 3 | |    \/ 2 *\/ 3    I*\/ 2 *\/ 3 | |      \/ 2 *\/ 3    I*\/ 2 *\/ 3 | |      \/ 2 *\/ 3    I*\/ 2 *\/ 3 | |    \/ 3    \/ 3 *\/ 5      10___    /  5   \/ 5  | |    \/ 3    \/ 3 *\/ 5      10___    /  5   \/ 5  | |      \/ 3    \/ 3 *\/ 5      10___    /  5   \/ 5  | |      \/ 3    \/ 3 *\/ 5      10___    /  5   \/ 5  | |    \/ 3    \/ 3 *\/ 5      10___    /  5   \/ 5  | |    \/ 3    \/ 3 *\/ 5      10___    /  5   \/ 5  | |      \/ 3    \/ 3 *\/ 5      10___    /  5   \/ 5  | |      \/ 3    \/ 3 *\/ 5      10___    /  5   \/ 5  | |    10___    /  5   \/ 5     I*\/ 3    I*\/ 3 *\/ 5 | |    10___    /  5   \/ 5     I*\/ 3    I*\/ 3 *\/ 5 | |      10___    /  5   \/ 5     I*\/ 3    I*\/ 3 *\/ 5 | |      10___    /  5   \/ 5     I*\/ 3    I*\/ 3 *\/ 5 | |    10___    /  5   \/ 5     I*\/ 3    I*\/ 3 *\/ 5 | |    10___    /  5   \/ 5     I*\/ 3    I*\/ 3 *\/ 5 | |      10___    /  5   \/ 5     I*\/ 3    I*\/ 3 *\/ 5 | |      10___    /  5   \/ 5     I*\/ 3    I*\/ 3 *\/ 5 | |    \/ 2 *\/ 3    \/ 3 *\/ 10                \/    8     8      I*\/ 2 *\/ 3    I*\/ 3 *\/ 10                  \/    8     8   | |    \/ 2 *\/ 3    \/ 3 *\/ 10                \/    8     8      I*\/ 2 *\/ 3    I*\/ 3 *\/ 10                  \/    8     8   | |    \/ 3 *\/ 10    \/ 2 *\/ 3                \/    8     8      I*\/ 2 *\/ 3    I*\/ 3 *\/ 10                  \/    8     8   | |    \/ 3 *\/ 10    \/ 2 *\/ 3                \/    8     8      I*\/ 3 *\/ 10    I*\/ 2 *\/ 3                  \/    8     8   | |    \/ 2 *\/ 3    \/ 3 *\/ 10                \/    8     8      I*\/ 3 *\/ 10    I*\/ 2 *\/ 3                  \/    8     8   | |    \/ 2 *\/ 3    \/ 3 *\/ 10                \/    8     8      I*\/ 2 *\/ 3    I*\/ 3 *\/ 10                  \/    8     8   | |      \/ 2 *\/ 3    \/ 3 *\/ 10                \/    8     8      I*\/ 2 *\/ 3    I*\/ 3 *\/ 10                  \/    8     8   | |      \/ 2 *\/ 3    \/ 3 *\/ 10                \/    8     8      I*\/ 2 *\/ 3    I*\/ 3 *\/ 10                  \/    8     8   | |    \/ 2 *\/ 3    \/ 3 *\/ 10                \/    8     8      I*\/ 2 *\/ 3    I*\/ 3 *\/ 10                  \/    8     8   | |    \/ 2 *\/ 3    \/ 3 *\/ 10                \/    8     8      I*\/ 2 *\/ 3    I*\/ 3 *\/ 10                  \/    8     8   | |      \/ 2 *\/ 3    \/ 3 *\/ 10                \/    8     8      I*\/ 2 *\/ 3    I*\/ 3 *\/ 10                  \/    8     8   | |      \/ 2 *\/ 3    \/ 3 *\/ 10                \/    8     8      I*\/ 2 *\/ 3    I*\/ 3 *\/ 10                  \/    8     8   | |    \/ 3 *\/ 10    \/ 2 *\/ 3                \/    8     8      I*\/ 3 *\/ 10    I*\/ 2 *\/ 3                  \/    8     8   | |    \/ 3 *\/ 10    \/ 2 *\/ 3                \/    8     8      I*\/ 2 *\/ 3    I*\/ 3 *\/ 10                  \/    8     8   | |    \/ 2 *\/ 3    \/ 3 *\/ 10                \/    8     8      I*\/ 2 *\/ 3    I*\/ 3 *\/ 10                  \/    8     8   | |    \/ 2 *\/ 3    \/ 3 *\/ 10                \/    8     8      I*\/ 3 *\/ 10    I*\/ 2 *\/ 3                  \/    8     8   |
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                                                    \         2              2      / \         2              2      / \           2              2      / \           2              2      / \      4          4                \/    8     8   / \      4          4                \/    8     8   / \        4          4                \/    8     8   / \        4          4                \/    8     8   / \      4          4                \/    8     8   / \      4          4                \/    8     8   / \        4          4                \/    8     8   / \        4          4                \/    8     8   / \          \/    8     8         4            4      / \          \/    8     8         4            4      / \            \/    8     8         4            4      / \            \/    8     8         4            4      / \          \/    8     8         4            4      / \          \/    8     8         4            4      / \            \/    8     8         4            4      / \            \/    8     8         4            4      / \         8             8                      2                       8               8                        2               / \         8             8                      2                       8               8                        2               / \         8              8                     2                       8               8                        2               / \         8              8                     2                       8                8                       2               / \         8             8                      2                       8                8                       2               / \         8             8                      2                       8               8                        2               / \           8             8                      2                       8               8                        2               / \           8             8                      2                       8               8                        2               / \         8             8                      2                       8               8                        2               / \         8             8                      2                       8               8                        2               / \           8             8                      2                       8               8                        2               / \           8             8                      2                       8               8                        2               / \         8              8                     2                       8                8                       2               / \         8              8                     2                       8               8                        2               / \         8             8                      2                       8               8                        2               / \         8             8                      2                       8                8                       2               /
(x−310)(x+310)(x+310i)(x−310i)(x+(23102+2310i2))(x+(23102−2310i2))(x+(−23102+2310i2))(x+(−23102−2310i2))(x+(−31054+3104+310i58+58))(x+(−31054+3104−310i58+58))(x+(−31054−3104+310i58−58))(x+(−31054−3104−310i58−58))(x+(3104+31054+310i58−58))(x+(3104+31054−310i58−58))(x+(−3104+31054+310i58+58))(x+(−3104+31054−310i58+58))(x+(31058−58−3105i4−310i4))(x+(31058−58+310i4+3105i4))(x+(−31058−58−3105i4−310i4))(x+(−31058−58+310i4+3105i4))(x+(31058+58−3105i4+310i4))(x+(31058+58−310i4+3105i4))(x+(−31058+58−3105i4+310i4))(x+(−31058+58−310i4+3105i4))(x+(−231058−582+23108+103108−2310i58−582−10310i8−2310i8))(x+(−231058−582+23108+103108+2310i8+10310i8+2310i58−582))(x+(−231058+582−23108+103108−2310i58+582−10310i8+2310i8))(x+(−231058+582−23108+103108−2310i8+10310i8+2310i58+582))(x+(−231058+582−103108+23108−2310i58+582−2310i8+10310i8))(x+(−231058+582−103108+23108−10310i8+2310i8+2310i58+582))(x+(−231058−582−103108−23108−2310i58−582+2310i8+10310i8))(x+(−231058−582−103108−23108−10310i8−2310i8+2310i58−582))(x+(23108+103108+231058−582−2310i58−582+2310i8+10310i8))(x+(23108+103108+231058−582−10310i8−2310i8+2310i58−582))(x+(−103108−23108+231058−582−2310i58−582−10310i8−2310i8))(x+(−103108−23108+231058−582+2310i8+10310i8+2310i58−582))(x+(−23108+103108+231058+582−2310i58+582−2310i8+10310i8))(x+(−23108+103108+231058+582−10310i8+2310i8+2310i58+582))(x+(−103108+23108+231058+582−2310i58+582−10310i8+2310i8))(x+(−103108+23108+231058+582−2310i8+10310i8+2310i58+582))\left(x - \sqrt[10]{3}\right) \left(x + \sqrt[10]{3}\right) \left(x + \sqrt[10]{3} i\right) \left(x - \sqrt[10]{3} i\right) \left(x + \left(\frac{\sqrt{2} \sqrt[10]{3}}{2} + \frac{\sqrt{2} \sqrt[10]{3} i}{2}\right)\right) \left(x + \left(\frac{\sqrt{2} \sqrt[10]{3}}{2} - \frac{\sqrt{2} \sqrt[10]{3} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{2} \sqrt[10]{3}}{2} + \frac{\sqrt{2} \sqrt[10]{3} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{2} \sqrt[10]{3}}{2} - \frac{\sqrt{2} \sqrt[10]{3} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt[10]{3} \sqrt{5}}{4} + \frac{\sqrt[10]{3}}{4} + \sqrt[10]{3} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}\right)\right) \left(x + \left(- \frac{\sqrt[10]{3} \sqrt{5}}{4} + \frac{\sqrt[10]{3}}{4} - \sqrt[10]{3} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}\right)\right) \left(x + \left(- \frac{\sqrt[10]{3} \sqrt{5}}{4} - \frac{\sqrt[10]{3}}{4} + \sqrt[10]{3} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}\right)\right) \left(x + \left(- \frac{\sqrt[10]{3} \sqrt{5}}{4} - \frac{\sqrt[10]{3}}{4} - \sqrt[10]{3} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}\right)\right) \left(x + \left(\frac{\sqrt[10]{3}}{4} + \frac{\sqrt[10]{3} \sqrt{5}}{4} + \sqrt[10]{3} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}\right)\right) \left(x + \left(\frac{\sqrt[10]{3}}{4} + \frac{\sqrt[10]{3} \sqrt{5}}{4} - \sqrt[10]{3} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}\right)\right) \left(x + \left(- \frac{\sqrt[10]{3}}{4} + \frac{\sqrt[10]{3} \sqrt{5}}{4} + \sqrt[10]{3} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}\right)\right) \left(x + \left(- \frac{\sqrt[10]{3}}{4} + \frac{\sqrt[10]{3} \sqrt{5}}{4} - \sqrt[10]{3} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}\right)\right) \left(x + \left(\sqrt[10]{3} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}} - \frac{\sqrt[10]{3} \sqrt{5} i}{4} - \frac{\sqrt[10]{3} i}{4}\right)\right) \left(x + \left(\sqrt[10]{3} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}} + \frac{\sqrt[10]{3} i}{4} + \frac{\sqrt[10]{3} \sqrt{5} i}{4}\right)\right) \left(x + \left(- \sqrt[10]{3} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}} - \frac{\sqrt[10]{3} \sqrt{5} i}{4} - \frac{\sqrt[10]{3} i}{4}\right)\right) \left(x + \left(- \sqrt[10]{3} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}} + \frac{\sqrt[10]{3} i}{4} + \frac{\sqrt[10]{3} \sqrt{5} i}{4}\right)\right) \left(x + \left(\sqrt[10]{3} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}} - \frac{\sqrt[10]{3} \sqrt{5} i}{4} + \frac{\sqrt[10]{3} i}{4}\right)\right) \left(x + \left(\sqrt[10]{3} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}} - \frac{\sqrt[10]{3} i}{4} + \frac{\sqrt[10]{3} \sqrt{5} i}{4}\right)\right) \left(x + \left(- \sqrt[10]{3} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}} - \frac{\sqrt[10]{3} \sqrt{5} i}{4} + \frac{\sqrt[10]{3} i}{4}\right)\right) \left(x + \left(- \sqrt[10]{3} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}} - \frac{\sqrt[10]{3} i}{4} + \frac{\sqrt[10]{3} \sqrt{5} i}{4}\right)\right) \left(x + \left(- \frac{\sqrt{2} \sqrt[10]{3} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} + \frac{\sqrt{2} \sqrt[10]{3}}{8} + \frac{\sqrt{10} \sqrt[10]{3}}{8} - \frac{\sqrt{2} \sqrt[10]{3} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} - \frac{\sqrt{10} \sqrt[10]{3} i}{8} - \frac{\sqrt{2} \sqrt[10]{3} i}{8}\right)\right) \left(x + \left(- \frac{\sqrt{2} \sqrt[10]{3} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} + \frac{\sqrt{2} \sqrt[10]{3}}{8} + \frac{\sqrt{10} \sqrt[10]{3}}{8} + \frac{\sqrt{2} \sqrt[10]{3} i}{8} + \frac{\sqrt{10} \sqrt[10]{3} i}{8} + \frac{\sqrt{2} \sqrt[10]{3} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2}\right)\right) \left(x + \left(- \frac{\sqrt{2} \sqrt[10]{3} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} - \frac{\sqrt{2} \sqrt[10]{3}}{8} + \frac{\sqrt{10} \sqrt[10]{3}}{8} - \frac{\sqrt{2} \sqrt[10]{3} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} - \frac{\sqrt{10} \sqrt[10]{3} i}{8} + \frac{\sqrt{2} \sqrt[10]{3} i}{8}\right)\right) \left(x + \left(- \frac{\sqrt{2} \sqrt[10]{3} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} - \frac{\sqrt{2} \sqrt[10]{3}}{8} + \frac{\sqrt{10} \sqrt[10]{3}}{8} - \frac{\sqrt{2} \sqrt[10]{3} i}{8} + \frac{\sqrt{10} \sqrt[10]{3} i}{8} + \frac{\sqrt{2} \sqrt[10]{3} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2}\right)\right) \left(x + \left(- \frac{\sqrt{2} \sqrt[10]{3} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} - \frac{\sqrt{10} \sqrt[10]{3}}{8} + \frac{\sqrt{2} \sqrt[10]{3}}{8} - \frac{\sqrt{2} \sqrt[10]{3} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} - \frac{\sqrt{2} \sqrt[10]{3} i}{8} + \frac{\sqrt{10} \sqrt[10]{3} i}{8}\right)\right) \left(x + \left(- \frac{\sqrt{2} \sqrt[10]{3} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} - \frac{\sqrt{10} \sqrt[10]{3}}{8} + \frac{\sqrt{2} \sqrt[10]{3}}{8} - \frac{\sqrt{10} \sqrt[10]{3} i}{8} + \frac{\sqrt{2} \sqrt[10]{3} i}{8} + \frac{\sqrt{2} \sqrt[10]{3} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2}\right)\right) \left(x + \left(- \frac{\sqrt{2} \sqrt[10]{3} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} - \frac{\sqrt{10} \sqrt[10]{3}}{8} - \frac{\sqrt{2} \sqrt[10]{3}}{8} - \frac{\sqrt{2} \sqrt[10]{3} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} + \frac{\sqrt{2} \sqrt[10]{3} i}{8} + \frac{\sqrt{10} \sqrt[10]{3} i}{8}\right)\right) \left(x + \left(- \frac{\sqrt{2} \sqrt[10]{3} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} - \frac{\sqrt{10} \sqrt[10]{3}}{8} - \frac{\sqrt{2} \sqrt[10]{3}}{8} - \frac{\sqrt{10} \sqrt[10]{3} i}{8} - \frac{\sqrt{2} \sqrt[10]{3} i}{8} + \frac{\sqrt{2} \sqrt[10]{3} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2}\right)\right) \left(x + \left(\frac{\sqrt{2} \sqrt[10]{3}}{8} + \frac{\sqrt{10} \sqrt[10]{3}}{8} + \frac{\sqrt{2} \sqrt[10]{3} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} - \frac{\sqrt{2} \sqrt[10]{3} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} + \frac{\sqrt{2} \sqrt[10]{3} i}{8} + \frac{\sqrt{10} \sqrt[10]{3} i}{8}\right)\right) \left(x + \left(\frac{\sqrt{2} \sqrt[10]{3}}{8} + \frac{\sqrt{10} \sqrt[10]{3}}{8} + \frac{\sqrt{2} \sqrt[10]{3} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} - \frac{\sqrt{10} \sqrt[10]{3} i}{8} - \frac{\sqrt{2} \sqrt[10]{3} i}{8} + \frac{\sqrt{2} \sqrt[10]{3} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2}\right)\right) \left(x + \left(- \frac{\sqrt{10} \sqrt[10]{3}}{8} - \frac{\sqrt{2} \sqrt[10]{3}}{8} + \frac{\sqrt{2} \sqrt[10]{3} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} - \frac{\sqrt{2} \sqrt[10]{3} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} - \frac{\sqrt{10} \sqrt[10]{3} i}{8} - \frac{\sqrt{2} \sqrt[10]{3} i}{8}\right)\right) \left(x + \left(- \frac{\sqrt{10} \sqrt[10]{3}}{8} - \frac{\sqrt{2} \sqrt[10]{3}}{8} + \frac{\sqrt{2} \sqrt[10]{3} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} + \frac{\sqrt{2} \sqrt[10]{3} i}{8} + \frac{\sqrt{10} \sqrt[10]{3} i}{8} + \frac{\sqrt{2} \sqrt[10]{3} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2}\right)\right) \left(x + \left(- \frac{\sqrt{2} \sqrt[10]{3}}{8} + \frac{\sqrt{10} \sqrt[10]{3}}{8} + \frac{\sqrt{2} \sqrt[10]{3} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} - \frac{\sqrt{2} \sqrt[10]{3} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} - \frac{\sqrt{2} \sqrt[10]{3} i}{8} + \frac{\sqrt{10} \sqrt[10]{3} i}{8}\right)\right) \left(x + \left(- \frac{\sqrt{2} \sqrt[10]{3}}{8} + \frac{\sqrt{10} \sqrt[10]{3}}{8} + \frac{\sqrt{2} \sqrt[10]{3} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} - \frac{\sqrt{10} \sqrt[10]{3} i}{8} + \frac{\sqrt{2} \sqrt[10]{3} i}{8} + \frac{\sqrt{2} \sqrt[10]{3} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2}\right)\right) \left(x + \left(- \frac{\sqrt{10} \sqrt[10]{3}}{8} + \frac{\sqrt{2} \sqrt[10]{3}}{8} + \frac{\sqrt{2} \sqrt[10]{3} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} - \frac{\sqrt{2} \sqrt[10]{3} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} - \frac{\sqrt{10} \sqrt[10]{3} i}{8} + \frac{\sqrt{2} \sqrt[10]{3} i}{8}\right)\right) \left(x + \left(- \frac{\sqrt{10} \sqrt[10]{3}}{8} + \frac{\sqrt{2} \sqrt[10]{3}}{8} + \frac{\sqrt{2} \sqrt[10]{3} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} - \frac{\sqrt{2} \sqrt[10]{3} i}{8} + \frac{\sqrt{10} \sqrt[10]{3} i}{8} + \frac{\sqrt{2} \sqrt[10]{3} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2}\right)\right)