因式分解x^3+x^2y-xy^2-y^3

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因式分解x^3+x^2y-xy^2-y^3因式分解x^3+x^2y-xy^2-y^3因式分解x^3+x^2y-xy^2-y^3x^3+x^2y-xy^2-y^3=（x-y）(x^2+xy+y^2)+x

因式分解x^3+x^2y-xy^2-y^3
因式分解x^3+x^2y-xy^2-y^3

因式分解x^3+x^2y-xy^2-y^3
x^3+x^2y-xy^2-y^3
=（x-y）(x^2+xy+y^2)+xy(x-y)
=(x-y)(x^2+y^2+2xy)
=(x-y)(x+y)^2

x^3+x^2y-xy^2-y^3
=x²(x+y)-y²(x+y)
=(x+y)(x²-y²)
=(x+y)²(x-y)

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