Algebrahard · Past Paper

Factorize a^2 - 4b^2 + 4b - 1.

A(a-2b+1)(a+2b-1)
B(a-2b-1)(a+2b+1)
C(a+2b-1)(a-2b-1)
D(a-2b+1)^2

✓ Correct Answer: A(a-2b+1)(a+2b-1)

a^2 - (4b^2 - 4b + 1) = a^2 - (2b-1)^2 = (a-(2b-1))(a+(2b-1)).

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