Chapter 11 - Polynomial and Rational Functions - 11.4 Rational Functions - Exercises and Problems for Section 11.4 - Skill Refresher - Page 461: S4

$$\frac{12x+33}{\left(x+2\right)\left(x+3\right)}$$

Using the rules of fractions, we find: $$\frac{9}{\left(x+2\right)\left(x+3\right)}+\frac{12}{x+3} \\ \frac{9+12\left(x+2\right)}{\left(x+2\right)\left(x+3\right)} \\ \frac{12x+33}{\left(x+2\right)\left(x+3\right)}$$