分解因式x^2-x^2y-xy^2+y^3
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分解因式x^2-x^2y-xy^2+y^3
![分解因式x^2-x^2y-xy^2+y^3](/uploads/image/z/18829731-3-1.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8Fx%5E2-x%5E2y-xy%5E2%2By%5E3)
应该为x^3-x^2y-xy^2+y^3吧!
=(x^3+y^3)-(x^2y+xy^2)
=(x+y)(x^2-xy+y^2)-xy(x+y)
=(x+y)(x^2-2xy+y^2)
=(x+y)(x-y)^2
=(x^3+y^3)-(x^2y+xy^2)
=(x+y)(x^2-xy+y^2)-xy(x+y)
=(x+y)(x^2-2xy+y^2)
=(x+y)(x-y)^2