Answer
$2a-3$
Work Step by Step
Factoring the expressions and then cancelling the common factors between the numerator and the denominator result to
\begin{array}{l}
\dfrac{6a^2b-9ab}{3ab}
\\\\=
\dfrac{3ab(2a-3)}{3ab}
&\text{...cancel $3ab$}
\\\\=
2a-3
.\end{array}