Answer
$\frac{{{x}^{2}}+3x+6}{x\left( x+2 \right)}$.
Work Step by Step
$\frac{3}{x}+\frac{x}{x+2}$
$\begin{align}
& \frac{3}{x}+\frac{x}{x+2}=\frac{3\left( x+2 \right)+x\left( x \right)}{x\left( x+2 \right)} \\
& =\frac{{{x}^{2}}+3x+6}{x\left( x+2 \right)}
\end{align}$
Thus, the simplified form of the expression $\frac{3}{x}+\frac{x}{x+2}$ is $\frac{{{x}^{2}}+3x+6}{x\left( x+2 \right)}$.
