Question

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

Answer 1

In general `a^3+b^3 = (a+b)(a^2-ab+b^2)`
(you can verify this by multiplying it out if you are not familiar with this relationship).

`8x^3+1`

`= (2x)^3+(1)^3`

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