Answer
$(2x-1)(4x^2+2x+1)$
Work Step by Step
RECALL:
A difference 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:
$=2^3x^3-1^3
\\(2x)^3-1^3$
The binomial above is a difference of two cubes.
Factor using the formula above with $a=2x$ and $b=1$ to obtain:
$=(2x-1)[(2x)^2+2x(1) + 1^2)
\\=(2x-1)(4x^2+2x+1)$
