Разложение на множители
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/ 4 ___ 4 ___\ / 4 ___ 4 ___\ / 4 ___ 4 ___\ / 4 ___ 4 ___\
| \/ 2 I*\/ 2 | | \/ 2 I*\/ 2 | | \/ 2 I*\/ 2 | | \/ 2 I*\/ 2 |
/ 3/4\ / 3/4\ | - ----- - -------| | - ----- + -------| | ----- - -------| | ----- + -------| / 3/4\ / 3/4\
| 2 | | 2 | | 2 2 | | 2 2 | | 2 2 | | 2 2 | | I*2 | | I*2 |
1*(m + 0)*|m + ----|*|m - ----|*|m - -----------------|*|m - -----------------|*|m - ---------------|*|m - ---------------|*|m + ------|*|m - ------|*(y + 0)
\ 2*y / \ 2*y / \ y / \ y / \ y / \ y / \ 2*y / \ 2*y /
$$1 \left(m + 0\right) \left(m + \frac{2^{\frac{3}{4}}}{2 y}\right) \left(m - \frac{2^{\frac{3}{4}}}{2 y}\right) \left(m - \frac{- \frac{\sqrt[4]{2}}{2} - \frac{\sqrt[4]{2} i}{2}}{y}\right) \left(m - \frac{- \frac{\sqrt[4]{2}}{2} + \frac{\sqrt[4]{2} i}{2}}{y}\right) \left(m - \frac{\frac{\sqrt[4]{2}}{2} - \frac{\sqrt[4]{2} i}{2}}{y}\right) \left(m - \frac{\frac{\sqrt[4]{2}}{2} + \frac{\sqrt[4]{2} i}{2}}{y}\right) \left(m + \frac{2^{\frac{3}{4}} i}{2 y}\right) \left(m - \frac{2^{\frac{3}{4}} i}{2 y}\right) \left(y + 0\right)$$
(((((((((1*(m + 0))*(m + 2^(3/4)/(2*y)))*(m - 2^(3/4)/(2*y)))*(m - (-2^(1/4)/2 - i*2^(1/4)/2)/y))*(m - (-2^(1/4)/2 + i*2^(1/4)/2)/y))*(m - (2^(1/4)/2 - i*2^(1/4)/2)/y))*(m - (2^(1/4)/2 + i*2^(1/4)/2)/y))*(m + i*2^(3/4)/(2*y)))*(m - i*2^(3/4)/(2*y)))*(y + 0)
Подстановка условия
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(y^10 + m^10)^2 - (y^10 - m^10)^2 - y^2*m^2 при y = 2
2 2
/ 10 10\ / 10 10\ 2 2
\y + m / - \y - m / - y *m
$$- m^{2} y^{2} - \left(- m^{10} + y^{10}\right)^{2} + \left(m^{10} + y^{10}\right)^{2}$$
2 2 10 10
- m *y + 4*m *y
$$4 m^{10} y^{10} - m^{2} y^{2}$$
$$y = 2$$
2 2 10 10
- m *(2) + 4*m *(2)
$$4 (2)^{10} m^{10} - (2)^{2} m^{2}$$
2 2 10 10
- m *2 + 4*m *2
$$4 \cdot 2^{10} m^{10} - 2^{2} m^{2}$$
$$4096 m^{10} - 4 m^{2}$$
2 2 / 4 4\ / 4 4\
m *y *\1 + 2*m *y /*\-1 + 2*m *y /
$$m^{2} y^{2} \cdot \left(2 m^{4} y^{4} - 1\right) \left(2 m^{4} y^{4} + 1\right)$$
m^2*y^2*(1 + 2*m^4*y^4)*(-1 + 2*m^4*y^4)