(2x+y)^2-(x+2y)^2分解因式

分类: 作业答案 • 2021-12-19 16:57:34

问题描述：

答

（2x+y)^2-(x+2y)^2=(2x+y+x+2y)(2x+y-x-2y)=3(x+y)(x-y)=3x^2-3y^2

答

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