Answer
$\dfrac{2x^2+7x-6}{(x+2)(x-2)}$
Work Step by Step
Using the $LCD=
(x+2)(x-2)
,$ the given expression, $
\dfrac{3}{x+2}+\dfrac{2x}{x-2}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{(x-2)(3)+(x+2)(2x)}{(x+2)(x-2)}
\\\\=
\dfrac{3x-6+2x^2+4x}{(x+2)(x-2)}
\\\\=
\dfrac{2x^2+7x-6}{(x+2)(x-2)}
.\end{array}
