
因式分解:(x-y)^2-4(x+y)^2
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(x-y)^2-4(x+y)^2
=(x-y)^2-(2x+2y)^2
=(x-y+2x+2y)(x-y-2x-2y)
=(3x+y)(-x-3y)
=-(3x+y)(x+3y)
=(x-y)^2-(2x+2y)^2
=(x-y+2x+2y)(x-y-2x-2y)
=(3x+y)(-x-3y)
=-(3x+y)(x+3y)
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(x-y)^2-[2(x+y)]^2
(x-y+2(x+y))(x-y-2(x+y))
(3x+y)(-x-3y)
(x-y+2(x+y))(x-y-2(x+y))
(3x+y)(-x-3y)
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[(x-y)+2(x+y)]*[(x-y)-2(x+y)]
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