Question

How do you factor `13(x^6+ 1)^4`?

Answer 1

`13 (x^2+1)^4 (x^4 - x^2 + 1)^4`

Explanation:

`a^3 + b^3 = (a+b)(a^2-ab+b^2)`
`=> x^6 + 1 = (x^2 + 1)(x^4 - x^2 + 1)`
`=> 13(x^6+1)^4 = 13 (x^2+1)^4 (x^4 - x^2 + 1)^4`