Chapter 11 - Rational Expressions and Functions - 11-5 Solving Rational Equations - Mixed Review - Page 685: 58

$\frac{-4k-61}{(k-4)(k+10)}$

$\frac{k-11}{k^2+6k-40}-\frac{5}{k-4}$ $\frac{k-11}{(k-4)(k+10)}-\frac{5}{k-4}$ $\frac{k-11}{(k-4)(k+10)}-(\frac{5}{k-4}*\frac{(k+10)}{(k+10)})$ $\frac{k-11}{(k-4)(k+10)}-(\frac{5(k+10)}{(k-4)(k+10)})$ $\frac{k-11}{(k-4)(k+10)}-(\frac{5k+50}{(k-4)(k+10)})$ $\frac{k-11-5k-50}{(k-4)(k+10)}$ $\frac{-4k-61}{(k-4)(k+10)}$