Разложить многочлен на множители 81-x^40

Комбинаторика

 /      10\ /     10\ /     20\
-\-3 + x  /*\3 + x  /*\9 + x  /

$$- \left(x^{10} - 3\right) \left(x^{10} + 3\right) \left(x^{20} + 9\right)$$

Разложение на множители

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                /                                                  ___________                                                       ___________\ /                                                  ___________                                                       ___________\ /                                                  ___________                                                       ___________\ /                                                  ___________                                                       ___________\ /                                                  ___________                                                       ___________\ /                                                  ___________                                                       ___________\ /                                                    ___________                                                       ___________\ /                                                    ___________                                                       ___________\ /                                                  ___________                                                       ___________\ /                                                  ___________                                                       ___________\ /                                                    ___________                                                       ___________\ /                                                    ___________                                                       ___________\ /                                                  ___________                                                       ___________\ /                                                  ___________                                                       ___________\ /                                                  ___________                                                       ___________\ /                                                  ___________                                                       ___________\
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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   |
\x + \/ 3 /*\x - \/ 3 /*\x + I*\/ 3 /*\x - I*\/ 3 /*|x + ----------- + -------------|*|x + ----------- - -------------|*|x + - ----------- + -------------|*|x + - ----------- - -------------|*|x + ----- - ----------- + I*\/ 3 *  /   - + ----- |*|x + ----- - ----------- - I*\/ 3 *  /   - + ----- |*|x + - ----- - ----------- + I*\/ 3 *  /   - - ----- |*|x + - ----- - ----------- - I*\/ 3 *  /   - - ----- |*|x + ----- + ----------- + I*\/ 3 *  /   - - ----- |*|x + ----- + ----------- - I*\/ 3 *  /   - - ----- |*|x + - ----- + ----------- + I*\/ 3 *  /   - + ----- |*|x + - ----- + ----------- - I*\/ 3 *  /   - + ----- |*|x + \/ 3 *  /   - - -----  - ------- - -------------|*|x + \/ 3 *  /   - - -----  + ------- + -------------|*|x + - \/ 3 *  /   - - -----  - ------- - -------------|*|x + - \/ 3 *  /   - - -----  + ------- + -------------|*|x + \/ 3 *  /   - + -----  + ------- - -------------|*|x + \/ 3 *  /   - + -----  - ------- + -------------|*|x + - \/ 3 *  /   - + -----  + ------- - -------------|*|x + - \/ 3 *  /   - + -----  - ------- + -------------|*|x + ----------- + ------------ - ---------------------------- - ------------- - -------------- - ------------------------------|*|x + ----------- + ------------ - ---------------------------- + ------------- + -------------- + ------------------------------|*|x + ------------ - ----------- - ---------------------------- + ------------- - -------------- - ------------------------------|*|x + ------------ - ----------- - ---------------------------- + -------------- - ------------- + ------------------------------|*|x + ----------- - ------------ - ---------------------------- + -------------- - ------------- - ------------------------------|*|x + ----------- - ------------ - ---------------------------- + ------------- - -------------- + ------------------------------|*|x + - ----------- - ------------ - ---------------------------- + ------------- + -------------- - ------------------------------|*|x + - ----------- - ------------ - ---------------------------- - ------------- - -------------- + ------------------------------|*|x + ----------- + ------------ + ---------------------------- + ------------- + -------------- - ------------------------------|*|x + ----------- + ------------ + ---------------------------- - ------------- - -------------- + ------------------------------|*|x + - ----------- - ------------ + ---------------------------- - ------------- - -------------- - ------------------------------|*|x + - ----------- - ------------ + ---------------------------- + ------------- + -------------- + ------------------------------|*|x + ------------ - ----------- + ---------------------------- + -------------- - ------------- - ------------------------------|*|x + ------------ - ----------- + ---------------------------- + ------------- - -------------- + ------------------------------|*|x + ----------- - ------------ + ---------------------------- + ------------- - -------------- - ------------------------------|*|x + ----------- - ------------ + ---------------------------- + -------------- - ------------- + ------------------------------|
                                                    \         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               /

$$\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)$$