因式分解:(x-2y)²-(2x+y)²

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因式分解:(x-2y)²-(2x+y)²

因式分解:(x-2y)²-(2x+y)²
因式分解:(x-2y)²-(2x+y)²

因式分解:(x-2y)²-(2x+y)²
(x-2y)²-(2x+y)²
=[(x-2y)-(2x+y)][(x-2y)+(2x+y)]
=(-x-3y)(3x-y)
=-(x+3y)(3x-y)

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