x^3-xy^2-x+y=(x^3-xy^2)-(x-y)=x(x^2-y^2)-(x-y)=x(x+y)(x-y)-(x-y)=(x-y)[x(x+y)-1]=(x-y)(x^2+xy-1)很高兴能帮助到你。若满意记得“采纳为满意答案”喔!祝你开心~O(∩_∩)O~
x³-xy²-x+y=x(x²-y²)-(x-y)=x(x+y)(x-y)-(x-y)=(x-y)[x(x+y)-1]=(x-y)(x²+xy-1)