x3-y3-x2+2xy-y2 因式分解

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x3-y3-x2+2xy-y2 因式分解
x3-y3-x2+2xy-y2 因式分解

x3-y3-x2+2xy-y2 因式分解
x3-y3-x2+2xy-y2
=(x-y)(x^2+xy+y^2)-(x-y)^2
=(x-y)(x^2+xy+y^2-x+y)

原式=(x-y)(x^2+xy+y^2)-(x-y)^2
=(x-y)(x^2+xy+y^2-x+y)
不能再分了吧？

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