-(x + y + z)*(x + y - z)*(x + z - y)*(y + z - x)
$$- \left(- x + y + z\right) \left(x - y + z\right) \left(x + y - z\right) \left(x + y + z\right)$$
-(x + y + z)*(x + y - z)*(x + z - y)*(y + z - x)
Рациональный знаменатель
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4 4 4 2 2 2 2 2 2
x + y + z - 2*x *y - 2*x *z - 2*y *z
$$x^{4} - 2 x^{2} y^{2} - 2 x^{2} z^{2} + y^{4} - 2 y^{2} z^{2} + z^{4}$$
x^4 + y^4 + z^4 - 2*x^2*y^2 - 2*x^2*z^2 - 2*y^2*z^2
4 4 4 2 2 2 2 2 2
x + y + z - 2*x *y - 2*x *z - 2*y *z
$$x^{4} - 2 x^{2} y^{2} - 2 x^{2} z^{2} + y^{4} - 2 y^{2} z^{2} + z^{4}$$
x^4 + y^4 + z^4 - 2*x^2*y^2 - 2*x^2*z^2 - 2*y^2*z^2
(x + y + z)*(x + y - z)*(x + z - y)*(x - y - z)
(x + y + z)*(x + y - z)*(x + z - y)*(x - y - z)