Answer
$(4x+3)(16x^2-12x+9)$
Work Step by Step
RECALL:
A sum of two cubes can be factored using the formula:
$a^3+b^3 = (a+b)(a^2-ab+b^2)$
The given expression can be written as:
$=4^3x^3+3^3
\\(4x)^3+3^3$
The binomial above is a sum of two cubes.
Factor using the formula above with $a=4x$ and $b=3$ to obtain:
$=(4x+3)[(4x)^2-4x(3) + 3^2)
\\=(4x+3)(16x^2-12x+9)$
