The factors of 4x4 + 1 is -

A (2x2 + 2x - 1) (2x2 - 2x + 1)

B (2x2 + 2x + 1) (2x2 - 2x + 1)

C (2x2 + 2x - 1) (2x2 - 2x - 1)

D (2x2 + 2x + 1) (2x2 - 2x - 1)

Solution

Correct Answer: Option B

4x4 + 1
= (2x2)2 + 1
= (2x2)2 + 2.2x2.1 + 12 - 4x2
= (2x2 + 1)2 - (2x)2
= (2x2 + 2x + 1) (2x2 - 2x + 1)

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