x^2(x-y)+y^2(y-x)
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x^2(x-y)+y^2(y-x)
=x^2(x-y)-y^(x-y)
=(x^2-y^2)(x-y)
=(x-y)^2(x+y)
=(x^2-2xy+y^2)(x+y)
=x^3+y^3-xy^2-x^2y
=(x+y)(x^2-xy+y^2)-xy(x+y)
=(x+y)(x-y)^2
其中x^3+y^3=(x+y)(x^2-xy+y^2)
=x^2(x-y)-y^(x-y)
=(x^2-y^2)(x-y)
=(x-y)^2(x+y)
=(x^2-2xy+y^2)(x+y)
=x^3+y^3-xy^2-x^2y
=(x+y)(x^2-xy+y^2)-xy(x+y)
=(x+y)(x-y)^2
其中x^3+y^3=(x+y)(x^2-xy+y^2)
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