(2x-y）²-(x-2y)²分解因式怎么做

来源：学生作业帮助网编辑：作业帮时间：2024/05/11 20:42:14

(2x-y）²-(x-2y)²分解因式怎么做
(2x-y）²-(x-2y)²分解因式怎么做

(2x-y）²-(x-2y)²分解因式怎么做
(2x-y）²-(x-2y)²
=[(2x-y）+(x-2y)]*[(2x-y）-(x-2y)]
=(3x-3y)(x+y)
=3(x-y)(x+y)

原式=[(2x-y)+(x-2y)]*[(2x-y)-(x-2y)]
=(3x-3y)(x+y)
=3(x+y)(x-y)