Algebrahard · Past Paper
Factorize: a^4 + 4b^4
A(a^2+2b^2+2ab)(a^2+2b^2-2ab)
B(a^2+2b^2)^2
C(a^2-2b^2)^2
D(a^2+2ab-b^2)(a^2-2ab+b^2)
✓ Correct Answer: A — (a^2+2b^2+2ab)(a^2+2b^2-2ab)
This is Sophie Germain's Identity: a^4 + 4b^4 = (a^2+2b^2)^2 - (2ab)^2.
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