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

Simplification (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)
So the original formula = (X-Y + 1) (x-y-1) / (x-y-1) = X-Y + 1