Разложение на множители
[src]
/ _____ _____\ / _____ _____\ / _____ _____\ / _____ _____\
/ _____\ / _____\ | ___ 8 / 20 ___ 8 / 20 | | ___ 8 / 20 ___ 8 / 20 | | ___ 8 / 20 ___ 8 / 20 | | ___ 8 / 20 ___ 8 / 20 | / _____\ / _____\
| 8 / 20 | | 8 / 20 | | \/ 2 *\/ d I*\/ 2 *\/ d | | \/ 2 *\/ d I*\/ 2 *\/ d | | \/ 2 *\/ d I*\/ 2 *\/ d | | \/ 2 *\/ d I*\/ 2 *\/ d | | 8 / 20 | | 8 / 20 |
1*\c + I*\/ d /*\c - I*\/ d /*|c + -------------- + ----------------|*|c + -------------- - ----------------|*|c + - -------------- + ----------------|*|c + - -------------- - ----------------|*\c + \/ d /*\c - \/ d /
\ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 /
$$\left(c - i \sqrt[8]{d^{20}}\right) 1 \left(c + i \sqrt[8]{d^{20}}\right) \left(c + \left(\frac{\sqrt{2} \sqrt[8]{d^{20}}}{2} + \frac{\sqrt{2} i \sqrt[8]{d^{20}}}{2}\right)\right) \left(c + \left(\frac{\sqrt{2} \sqrt[8]{d^{20}}}{2} - \frac{\sqrt{2} i \sqrt[8]{d^{20}}}{2}\right)\right) \left(c - \left(\frac{\sqrt{2} \sqrt[8]{d^{20}}}{2} - \frac{\sqrt{2} i \sqrt[8]{d^{20}}}{2}\right)\right) \left(c - \left(\frac{\sqrt{2} \sqrt[8]{d^{20}}}{2} + \frac{\sqrt{2} i \sqrt[8]{d^{20}}}{2}\right)\right) \left(c + \sqrt[8]{d^{20}}\right) \left(c - \sqrt[8]{d^{20}}\right)$$
(((((((1*(c + i*(d^20)^(1/8)))*(c - i*(d^20)^(1/8)))*(c + (sqrt(2)*(d^20)^(1/8)/2 + i*sqrt(2)*(d^20)^(1/8)/2)))*(c + (sqrt(2)*(d^20)^(1/8)/2 - i*sqrt(2)*(d^20)^(1/8)/2)))*(c - (sqrt(2)*(d^20)^(1/8)/2 + i*sqrt(2)*(d^20)^(1/8)/2)))*(c - (sqrt(2)*(d^20)^(1/8)/2 - i*sqrt(2)*(d^20)^(1/8)/2)))*(c + (d^20)^(1/8)))*(c - (d^20)^(1/8))
/ 2 5\ / 2 5\ / 4 10\
\c + d /*\c - d /*\c + d /
$$\left(- d^{5} + c^{2}\right) \left(d^{5} + c^{2}\right) \left(d^{10} + c^{4}\right)$$
(c^2 + d^5)*(c^2 - d^5)*(c^4 + d^10)