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

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

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

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

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

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