求(x+y)^-4xy(x+y)的因式分解
问题描述:
求(x+y)^-4xy(x+y)的因式分解
答
(x+y)^3-4xy(x+y)
=(x+y)[(x+y)^2-4xy]
=(x+y)(x^2+2xy+y^2-4xy)
=(x+y)(x^2-2xy+y^2)
=(x+y)(x-y)^2