因式分解：(x-2y)^2-(2x-y)^2帮我算一下(x-2y)^2-(2x-y)^2

分类: 作业答案 • 2021-12-20 01:33:20

问题描述：

因式分解：(x-2y)^2-(2x-y)^2帮我算一下
(x-2y)^2-(2x-y)^2

答

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

答

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

答

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