How do you factor x³ + 1?

We have to solve x³+1

Solution

x³+1 is in the form x³ + 1³

It is in the form of identity

(a³ + b³) = (a + b)(a² + b² – ab)

x³ + 1³= (x+1) (x² +1² – (x)(1))

x³ + 1³= (x+1) (x² +1- x)