Answer
$(x-2)(x+2)(x^2+4)$
Work Step by Step
RECALL:
A difference of two square can be factored using the formula
$a^2-b^2=(a-b)(a+b)$
The given binomial can be written as:
$=(x^2)^2-4^2$
The binomial above is a difference of two squares.
Factor the difference of two squares using the formula above with $a=x^2$ and $b=4$ to obtain:
$=(x^2-4)(x^2+4)
\\=(x^2-2^2)(x^2+4)$
The first factor is a difference of two squares. Factor using the formula above with $a=x$ and $b=2$ to obtain:
$=(x-2)(x+2)(x^2+4)$
