Question

How do you factor `8a^3 + 1`?

Answer 1

`(2a+1)(4a^2-2a+1)`

Explanation:

This is a sum of cubes.

`a^3+b^3=(a+b)(a^2-ab+b^2)`

`8a^3+1=(2a)^3+(1)^3=(2a+1)(4a^2-2a+1)`