Algebrahard · Past Paper
Factorize: a(a-1) - b(b-1)
A(a-b)(a+b-1)
B(a+b)(a-b-1)
C(a-b)(a-b-1)
D(a+b)(a+b-1)
✓ Correct Answer: A — (a-b)(a+b-1)
a^2 - a - b^2 + b = (a^2-b^2) - (a-b) = (a-b)(a+b) - (a-b) = (a-b)(a+b-1).
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✓ Correct Answer: A — (a-b)(a+b-1)
a^2 - a - b^2 + b = (a^2-b^2) - (a-b) = (a-b)(a+b) - (a-b) = (a-b)(a+b-1).
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