Answer
$(5x+2)(25x^2-10x+4)$
Work Step by Step
The given binomial can be written as:
$(5x)^3+2^3$
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 $a=5x$ and $b=2$ to obtain:
$=(5x+2)[(5x)^2-(5x)(2) + 2^2]
\\=(5x+2)(25x^2-10x+4)$
