(x ^ 2 + 2XY + y ^ 2) + (- 2x + 2Y) + 1 factorization factor No, that's right. That's what it says on the paper

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

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