Answer
$\dfrac{2x^2-5x-4}{x-3}$
Work Step by Step
Using the $LCD=
x-3
$, the given expression, $
2x+1-\dfrac{1}{x-3}
,$ above simplifies to
\begin{array}{l}\require{cancel}
\dfrac{(x-3)(2x+1)-1(1)}{x-3}
\\\\=
\dfrac{2x^2+x-6x-3-1}{x-3}
\\\\=
\dfrac{2x^2-5x-4}{x-3}
.\end{array}
