Разложение на множители
[src]
/ _____ _____\ / _____ _____\ / _____ _____\ / _____ _____\
/ _____\ / _____\ | ___ 8 / 10 ___ 8 / 10 | | ___ 8 / 10 ___ 8 / 10 | | ___ 8 / 10 ___ 8 / 10 | | ___ 8 / 10 ___ 8 / 10 | / _____\ / _____\
| 8 / 10 | | 8 / 10 | | \/ 2 *\/ x I*\/ 2 *\/ x | | \/ 2 *\/ x I*\/ 2 *\/ x | | \/ 2 *\/ x I*\/ 2 *\/ x | | \/ 2 *\/ x I*\/ 2 *\/ x | | 8 / 10 | | 8 / 10 |
1*\a + I*\/ x /*\a - I*\/ x /*|a + -------------- + ----------------|*|a + -------------- - ----------------|*|a + - -------------- + ----------------|*|a + - -------------- - ----------------|*\a + \/ x /*\a - \/ x /
\ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 /
$$\left(a - i \sqrt[8]{x^{10}}\right) 1 \left(a + i \sqrt[8]{x^{10}}\right) \left(a + \left(\frac{\sqrt{2} \sqrt[8]{x^{10}}}{2} + \frac{\sqrt{2} i \sqrt[8]{x^{10}}}{2}\right)\right) \left(a + \left(\frac{\sqrt{2} \sqrt[8]{x^{10}}}{2} - \frac{\sqrt{2} i \sqrt[8]{x^{10}}}{2}\right)\right) \left(a - \left(\frac{\sqrt{2} \sqrt[8]{x^{10}}}{2} - \frac{\sqrt{2} i \sqrt[8]{x^{10}}}{2}\right)\right) \left(a - \left(\frac{\sqrt{2} \sqrt[8]{x^{10}}}{2} + \frac{\sqrt{2} i \sqrt[8]{x^{10}}}{2}\right)\right) \left(a + \sqrt[8]{x^{10}}\right) \left(a - \sqrt[8]{x^{10}}\right)$$
(((((((1*(a + i*(x^10)^(1/8)))*(a - i*(x^10)^(1/8)))*(a + (sqrt(2)*(x^10)^(1/8)/2 + i*sqrt(2)*(x^10)^(1/8)/2)))*(a + (sqrt(2)*(x^10)^(1/8)/2 - i*sqrt(2)*(x^10)^(1/8)/2)))*(a - (sqrt(2)*(x^10)^(1/8)/2 + i*sqrt(2)*(x^10)^(1/8)/2)))*(a - (sqrt(2)*(x^10)^(1/8)/2 - i*sqrt(2)*(x^10)^(1/8)/2)))*(a + (x^10)^(1/8)))*(a - (x^10)^(1/8))