Algebrahard · Past Paper

Factorize (a+b)^2 - 5(a+b) + 6.

A(a+b-2)(a+b-3)
B(a+b+2)(a+b+3)
C(a+b-1)(a+b-6)
D(a-b-2)(a-b-3)

✓ Correct Answer: A(a+b-2)(a+b-3)

Substitute u = a+b: u^2 - 5u + 6 = (u-2)(u-3) = (a+b-2)(a+b-3).

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