$$\left. \begin{array} { l } { \frac { x } { x ^ { 2 } + 3 x + 2 } + \frac { 4 } { 2 x ^ { 2 } + 4 x + 3 } } \end{array} \right.$$
$\frac{2x^{3}+8x^{2}+15x+8}{\left(x+1\right)\left(x+2\right)\left(2x^{2}+4x+3\right)}$
