Algebrahard · Past Paper

Factorize a^2 - b^2 - 4a + 4.

A(a-2-b)(a-2+b)
B(a+2-b)(a-2+b)
C(a-2-b)^2
D(a-b-2)(a+b+2)

✓ Correct Answer: A(a-2-b)(a-2+b)

(a^2-4a+4) - b^2 = (a-2)^2 - b^2 = (a-2-b)(a-2+b).

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