factor: 8x^3 + 1

3 answers

sum of cubes:

(2x+1)(4x^2-2x+1)
@Steve how did you arrive at this answer?
experience.
sum of cubes:

(a^3±b^3) = (a+b)(a^2∓ab+b^2)

just one of those shortcuts it's helpful to know. Just like

(a^2-b^2)=(a+b)(a-b)