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