把m(2x+y)^2-m(x+2y)^2分解因式

题目

把m(2x+y)^2-m(x+2y)^2分解因式
要过程哦!

答案

m(2x+y)^2-m(x+2y)^2
=m[(2x+y)^2-(x+2y)^2]
=m[2x+y-(x+2y)][2x+y+x+2y]
=m(x-y)(3x+3y)
=3m(x-y)(x+y)