Algebrahard · Past Paper

Factorize: x^4 + x^2y^2 + y^4.

A(x^2+xy+y^2)(x^2-xy+y^2)
B(x^2+y^2)^2
C(x^2+xy-y^2)(x^2-xy+y^2)
D(x+y)^4

✓ Correct Answer: A(x^2+xy+y^2)(x^2-xy+y^2)

This is a standard factorization using the completing square method: (x^2+y^2)^2 - (xy)^2.

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