Answer
$(1-a^n)(1+a^n)$
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:
$=(1)^2-(a^n)^2$
This binomial is a difference of two squares.
Factor the given difference of two squares using the formula above with $a=1$ and $b=a^n$ to obtain:
$=(1-a^n)(1+a^n)$
