Algebramedium · Past Paper

Factorize: x^2 - 2x + 1 - y^2

A(x-1+y)(x-1-y)
B(x+1+y)(x+1-y)
C(x-1-y)^2
D(x-y+1)(x+y+1)

✓ Correct Answer: A(x-1+y)(x-1-y)

(x-1)^2 - y^2 = (x-1+y)(x-1-y).

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