# Divide (n+2)/(n^2-16)

n+2n2-16
Simplify the denominator.
Rewrite 16 as 42.
n+2n2-42
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=n and b=4.
n+2(n+4)(n-4)
n+2(n+4)(n-4)
Split the fraction n+2(n+4)(n-4) into two fractions.
n(n+4)(n-4)+2(n+4)(n-4)
Divide (n+2)/(n^2-16)