(x²-2xy+y²)+(-2x+2y)+1

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(x²-2xy+y²)+(-2x+2y)+1
(x²-2xy+y²)+(-2x+2y)+1

(x²-2xy+y²)+(-2x+2y)+1
(x²-2xy+y²)+(-2x+2y)+1
=(x-y)^2-2(x-y)+1
=(x-y-1)^2