Algebramedium · Past Paper
Find the factors of 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)).
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