Answer
$\dfrac{3x^2-21x}{(x+3)(x-3)}$
Work Step by Step
Using the $LCD=
(x+3)(x-3)
,$ the given expression, $
\dfrac{5x}{x+3}-\dfrac{2x}{x-3}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{(x-3)(5x)-(x+3)(2x)}{(x+3)(x-3)}
\\\\=
\dfrac{5x^2-15x-2x^2-6x}{(x+3)(x-3)}
\\\\=
\dfrac{3x^2-21x}{(x+3)(x-3)}
.\end{array}
