Algebramedium · Past Paper

Factorize x^4 - 16.

A(x-2)(x+2)(x^2+4)
B(x^2-4)^2
C(x^2+4)^2
D(x-4)(x+4)(x^2+1)

✓ Correct Answer: A(x-2)(x+2)(x^2+4)

(x^2)^2 - 4^2 = (x^2-4)(x^2+4) = (x-2)(x+2)(x^2+4).

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