化简 (x^2-2xy+y^2-1)/(x-y-1)

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化简 (x^2-2xy+y^2-1)/(x-y-1)
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化简 (x^2-2xy+y^2-1)/(x-y-1)
化简 (x^2-2xy+y^2-1)/(x-y-1)

化简 (x^2-2xy+y^2-1)/(x-y-1)
x^2-2xy+y^2-1
=(x-y)^2-1^2
=(x-y+1)(x-y-1)
所以原式=(x-y+1)(x-y-1)/(x-y-1)=x-y+1

X-y+1

x-y+1

(x^2-2xy+y^2-1)/(x-y-1)
=((x-y)^2-1)/(x-y-1) =(x-y-1)(x-y+1)/(x-y-1) =x-y+1

(x^2-2xy+y^2-1)/(x-y-1)
=[(x-y)^2-1]/(x-y-1)
=(x-y+1)(x-y-1)/(x-y-1)
=(x-y+1)