Answer
$\frac{-4b+1}{b+5}$
Work Step by Step
The student did not distribute the negative sign properly on the numerator of the second fraction. See the correct solution below.
Given \begin{equation}
\frac{b+3}{b+5}-\frac{5 b+2}{b+5}.
\end{equation} Find the LCD of the fractions which is: $\mathbf{LCD}=(b+5)$. Perform subtraction: \begin{equation}
\begin{aligned}
\frac{b+3}{b+5}-\frac{5 b+2}{b+5}&=\frac{b+3-5b-2}{b+5} \\
&= \frac{-4b+1}{b+5}.
\end{aligned}
\end{equation}
