Разложение на множители
[src]
/ ___ ___\ / ___ ___\ / ___ ___\ / ___ ___\ / ___ ___\ / ___ ___\ / ___ ___\ / ___ ___\
/ ___\ / ___\ / ___\ / ___\ | \/ 2 I*\/ 6 | | \/ 2 I*\/ 6 | | \/ 2 I*\/ 6 | | \/ 2 I*\/ 6 | | \/ 6 I*\/ 2 | | \/ 6 I*\/ 2 | | \/ 6 I*\/ 2 | | \/ 6 I*\/ 2 |
1*\m + \/ 2 /*\m - \/ 2 /*\m + I*\/ 2 /*\m - I*\/ 2 /*|m + ----- + -------|*|m + ----- - -------|*|m + - ----- + -------|*|m + - ----- - -------|*|m + ----- + -------|*|m + ----- - -------|*|m + - ----- + -------|*|m + - ----- - -------|
\ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 /
$$\left(m - \sqrt{2}\right) 1 \left(m + \sqrt{2}\right) \left(m + \sqrt{2} i\right) \left(m - \sqrt{2} i\right) \left(m + \left(\frac{\sqrt{2}}{2} + \frac{\sqrt{6} i}{2}\right)\right) \left(m + \left(\frac{\sqrt{2}}{2} - \frac{\sqrt{6} i}{2}\right)\right) \left(m - \left(\frac{\sqrt{2}}{2} - \frac{\sqrt{6} i}{2}\right)\right) \left(m - \left(\frac{\sqrt{2}}{2} + \frac{\sqrt{6} i}{2}\right)\right) \left(m + \left(\frac{\sqrt{6}}{2} + \frac{\sqrt{2} i}{2}\right)\right) \left(m + \left(\frac{\sqrt{6}}{2} - \frac{\sqrt{2} i}{2}\right)\right) \left(m - \left(\frac{\sqrt{6}}{2} - \frac{\sqrt{2} i}{2}\right)\right) \left(m - \left(\frac{\sqrt{6}}{2} + \frac{\sqrt{2} i}{2}\right)\right)$$
(((((((((((1*(m + sqrt(2)))*(m - sqrt(2)))*(m + i*sqrt(2)))*(m - i*sqrt(2)))*(m + (sqrt(2)/2 + i*sqrt(6)/2)))*(m + (sqrt(2)/2 - i*sqrt(6)/2)))*(m - (sqrt(2)/2 + i*sqrt(6)/2)))*(m - (sqrt(2)/2 - i*sqrt(6)/2)))*(m + (sqrt(6)/2 + i*sqrt(2)/2)))*(m + (sqrt(6)/2 - i*sqrt(2)/2)))*(m - (sqrt(6)/2 + i*sqrt(2)/2)))*(m - (sqrt(6)/2 - i*sqrt(2)/2))
/ 2\ / 2\ / 4 2\ / 4 2\
\-2 + m /*\2 + m /*\4 + m - 2*m /*\4 + m + 2*m /
$$\left(m^{2} - 2\right) \left(m^{2} + 2\right) \left(m^{4} - 2 m^{2} + 4\right) \left(m^{4} + 2 m^{2} + 4\right)$$
(-2 + m^2)*(2 + m^2)*(4 + m^4 - 2*m^2)*(4 + m^4 + 2*m^2)