Algebrahard · Past Paper

Factorize: 1 - a^2 - b^2 - 2ab

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

✓ Correct Answer: A(1+a+b)(1-a-b)

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

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