Answer
$(x+1)(x^2-x+1)$
Work Step by Step
The given binomial can be written as:
$x^3+1^3$
This binomial is a sum of two cubes.
RECALL:
$a^3+b^3=(a+b)(a^2-ab+b^2)$
Factor the sum of two cubes using the formula above with $a=x$ and $b=1$ to obtain:
$=(x+1)(x^2-x(1)+1^2)
\\=(x+1)(x^2-x+1)$