Question

因式分解:x2(y-z)+y2(z-x)+z2(x-y)

• 你的回答被采纳后将获得：
• 系统奖励15（财富值+成长值）+难题奖励30（财富值+成长值）

Answer 1

x^2(y-z)+y^2(z-x)+z^2(x-y)
=x^2y-x^2z+y^2z-xy^2+z^2(x-y)
=xy(x-y)-z(x-y)(x+y)+z^2(x-y)
=(x-y)(xy-zx+yz+z^2)

Answer 2

x^2(y-z)+y^2(z-x)+z^2(x-y)
=x^2y-x^2z+y^2z-xy^2+z^2(x-y)
=xy(x-y)-z(x-y)(x+y)+z^2(x-y)
=(x-y)(xy-zx-yz+z^2)