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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