Algebrahard · Past Paper
Factorize a^4 + 2a^2b^2 + 9b^4.
A(a^2+2ab+3b^2)(a^2-2ab+3b^2)
B(a^2+3b^2)^2
C(a^2-3b^2)^2
D(a^2+4ab+3b^2)(a^2-4ab+3b^2)
✓ Correct Answer: D — (a^2+4ab+3b^2)(a^2-4ab+3b^2)
(a^2+3b^2)^2 - 6a^2b^2 + 2a^2b^2 = (a^2+3b^2)^2 - (2ab)^2.
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