Answer
$(3x+2)(9x^2-6x+4)$
Work Step by Step
The given binomial can be written as:
$(3x)^3+2^3$
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 $a=3x$ and $b=2$ to obtain:
$=(3x+2)[(3x)^2-(3x)(2) + 2^2]
\\=(3x+2)(9x^2-6x+4)$
