## Functions Modeling Change: A Preparation for Calculus, 5th Edition

$$\frac{-27x+44}{\left(x+1\right)\left(3x-4\right)}$$
In order to simplify the expression, we first must create like denominators. After ensuring that the denominators are like denominators, we can simplify the fractions. Thus, we find: $$\frac{8}{\left(x+1\right)\left(3x-4\right)}-\frac{9}{x+1} \\ \frac{8}{\left(x+1\right)\left(3x-4\right)}-\frac{9\left(3x-4\right)}{\left(x+1\right)\left(3x-4\right)} \\ \frac{8-9\left(3x-4\right)}{\left(x+1\right)\left(3x-4\right)} \\ \frac{-27x+44}{\left(x+1\right)\left(3x-4\right)}$$