Answer
$(x+4)(x^2-4x+16)$
Work Step by Step
The given binomial can be written as:
$x^3+4^3$
The binomial above is a sum of two cubes.
RECALL:
A sum of two cubes can be factored using the formula:
$a^3+b^3=(a+b)(a^2-ab+b^2)$
Use the formula above to factor the sum of two cubes with $a=x$ and $b=4$ to obtain:
$=(x+4)(x^2-x(4) + 4^2)
\\=(x+4)(x^2-4x+16)$
