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