(x-y)²-8(x-y-2) 因式分解

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(x-y)²-8(x-y-2) 因式分解

(x-y)^2-8(x-y-2)
=(x-y)^2-8(x-y)+16
=[(x-y)-4]^2
=(x-y-4)^2

(x-y)²-8(x-y-2)
=(x-y)²-8(x-y)+16
=(x-y-4)²

令t=x-y,则原式=t²-8t+16=(t-4)²,故原式=(x-y-4)²