(x2-x)^2-(x-1)^2

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(x2-x)^2-(x-1)^2(x2-x)^2-(x-1)^2(x2-x)^2-(x-1)^2(x2-x)^2-(x-1)^2=(x2-x+x-1)(x2-x-x+1)=(x2-1)(x2-2x+1

(x2-x)^2-(x-1)^2
(x2-x)^2-(x-1)^2

(x2-x)^2-(x-1)^2
(x2-x)^2-(x-1)^2
=(x2-x+x-1)(x2-x-x+1)
=(x2-1)(x2-2x+1)
=(x+1)(x-1)(x-1)^2
=(x-1)^3(x+1)

(x2-x)^2-(x-1)^2
=(x^2-x+x-1)(x^2-x-x+1)
=(x^2-1)(x^2-2x+1)
=(x+1)(x-1)(x-1)^2
=(x+1)(x-1)^3