Answer
$\frac{6}{(n-10)}$
Work Step by Step
We factor the expression in the numerator by taking out $6$ as the common factor. Since the denominator consists of a trinomial, we use the rules of factoring trinomials in order to factor it. Then, we cancel out the resultant common factors in the numerator and the denominator:
$\frac{6n-60}{n^{2}-20n+100}$
=$\frac{6(n-10)}{n^{2}-10n-10n+100}$
=$\frac{6(n-10)}{n(n-10)-10(n-10)}$
=$\frac{6(n-10)}{(n-10)(n-10)}$
=$\frac{6}{(n-10)}$
