How can i factorize this?

8x^3+1

2 answers

8x^3+ 1

(2x)³+1³
2x+1

X=1/2
use A^3 + B^3 = (A+B)(A^2 - AB + B^2)
(memorize it)
We call it the sum of cubes,
we can also factor the difference of cubes.

8x^3 is a perfect cube and so is 1, so the expression fits the formula

8x^3+ 1
= (2x + 1)(4x^2 - 2x + 1)