x ^4+y^4+z^4-2x^2 y^2-2x^2Z^2+2y^2z^2
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x^4+y^4+z^4-2x^2y^2-2x^2Z^2+2y^2z^2x^4+y^4+z^4-2x^2y^2-2x^2Z^2+2y^2z^2x^4+y^4+z^4-2x^2y^2-2x^2Z^2+2y
x ^4+y^4+z^4-2x^2 y^2-2x^2Z^2+2y^2z^2
x ^4+y^4+z^4-2x^2 y^2-2x^2Z^2+2y^2z^2
x ^4+y^4+z^4-2x^2 y^2-2x^2Z^2+2y^2z^2
原式=
(y^2-z^2)^2+x^4-2x^2y^2-2x^2z^2
=
(x^2-y^2+z^2)^2
(x^2-y^2-z^2)^2
=(x^2-y^2-z^2)^2
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x ^4+y^4+z^4-2x^2 y^2-2x^2Z^2+2y^2z^2
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