What is the HCF of (x6 + 1) and (x4 - 1)?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. (1 + x2).
The factorization of
⇒ x6 + 1 = (x2 + 1) (x4 + 1 - x2)
⇒ x4 - 1 = (x2 + 1) (x2 - 1) = (x2 + 1) (x - 1) (x + 1)
Hence,
The required HCF is (x2 + 1)