Algebrahard · Past Paper
Factorize x^4 + 4x^2y^2 + 16y^4.
A(x^2+2xy+4y^2)(x^2-2xy+4y^2)
B(x^2+4y^2)^2
C(x^2+4xy+4y^2)(x^2-4xy+4y^2)
D(x^2+2xy+2y^2)^2
✓ Correct Answer: A — (x^2+2xy+4y^2)(x^2-2xy+4y^2)
(x^2)^2 + (4y^2)^2 + 4x^2y^2 = (x^2+4y^2)^2 - 8x^2y^2 + 4x^2y^2 = (x^2+4y^2)^2 - (2xy)^2.
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