#### Answer

$(x^n-6)(x^n+6)$

#### Work Step by Step

RECALL:
A difference of two squares can be factored using the formula:
$a^2-b^2=(a-b)(a+b)$
The given binomial can be written as:
$=(x^n)^2-6^2$
This binomial is a difference of two squares.
Factor the given difference of two squares using the formula above with $a=x^n$ and $b=6$ to obtain:
$=(x^n-6)(x^n+6)$