问题标题:
【因式分解x^3(x+y-z)(y+z-a)+x^2z(z-x-y)+x^2y(z-x-y)(x-z-a)】
问题描述:
因式分解
x^3(x+y-z)(y+z-a)+x^2z(z-x-y)+x^2y(z-x-y)(x-z-a)
汪庆宝回答:
x^2[x(x+y-z)(y+z-a)+z(z-x-y)+y(z-x-y)(x-z-a)]=x^2(x+y-z)[x(y+z-a)-z-y(x-z-a)]=x^2(x+y-z)[xy+xz-ax-z-xy+yz+ay]=x^2(x+y-z)[xz-ax-z+yz+ay]=x^2(x+y-z)[z(x+y-1)+a(y-x)]
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