x^3+x^2y-xy^2-y^3因式分解应该等于多少丫?是不是(x+y)(x^2-y^2)?_数学解答

x^3+x^2y-xy^2-y^3因式分解应该等于多少丫?是不是(x+y)(x^2-y^2)?

人气：150 ℃　时间：2019-10-26 14:10:33

解答

x^3+x^2y-xy^2-y^3
=x^2(X+Y)-y^2(x+y)
=(x+y)(x^2-y^2)
=(x+y)(x+y)(x-y)
=(x+y)^2(x-y)
你的结果是对的,但还可以再分解呀!
(x+y)^2(x-y)才是完整的!