Algebrahard · Past Paper

Factorize 4x^4 + 1.

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

✓ Correct Answer: A(2x^2+2x+1)(2x^2-2x+1)

(2x^2)^2 + 1^2 = (2x^2+1)^2 - 4x^2 = (2x^2+1-2x)(2x^2+1+2x).

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