Answer
$n+2$
Work Step by Step
In factored form, the given is equivalent to
$$
\frac{(n+8)(n-1)}{(n-1)}\cdot\frac{(n+2)(n-2)}{(n+8)(n-2)}
.$$
Cancelling factors that are common to both the numerator and denominator, the expression above is equivalent to
$$\begin{aligned}
&
\frac{\color{red}{(n+8)}\color{blue}{(n-1)}}{\color{blue}{(n-1)}}\cdot\frac{(n+2)\color{orange}{(n-2})}{\color{red}{(n+8)}\color{orange}{(n-2})}
\\&=
n+2
.\end{aligned}$$Hence, the given expression simplifies to $n+2$.
