Answer
$(2x+5)(4x^2-10x+25)$
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:
$=2^3x^3+5^3
\\(2x)^3+5^3$
The binomial above is a sum of two cubes.
Factor using the formula above with $a=2x$ and $b=5$ to obtain:
$=(2x+5)[(2x)^2-2x(5) + 5^2)
\\=(2x+5)(4x^2-10x+25)$
