赞 alexliu_flex 幼苗
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原式=
x^4-(2y^2+2z^2)x^2+y^4+z^4-2y^2z^2
=x^4-(2y^2+2z^2)x^2+(y^2-z^2)^2
=x^4-(2y^2+2z^2)x^2+(y+z)^2(y-z)^2
=[x^2-(y+z)^2][x^2-(y-z)^2]
=(x+y+z)(x-y-z)(x+y-z)(x-y+z)
x^4-(2y^2+2z^2)x^2+y^4+z^4-2y^2z^2
=x^4-(2y^2+2z^2)x^2+(y^2-z^2)^2
=x^4-(2y^2+2z^2)x^2+(y+z)^2(y-z)^2
=[x^2-(y+z)^2][x^2-(y-z)^2]
=(x+y+z)(x-y-z)(x+y-z)(x-y+z)
1年前
4
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你能帮帮他们吗