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