Algebramedium · Past Paper

Factorize x^2 - y^2 - 4x + 4.

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

✓ Correct Answer: A(x-2-y)(x-2+y)

(x^2 - 4x + 4) - y^2 = (x-2)^2 - y^2 = (x-2-y)(x-2+y).

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