因式分解：(x-2y)^2-(2x-y)^2帮我算一下(x-2y)^2-(2x-y)^2_数学解答

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

人气：273 ℃　时间：2020-04-15 04:56:36

解答

(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)