Answer
$\dfrac{1}{5x-1}$
Work Step by Step
Cancelling the common factors between the numerator and the denominator, the given expression, $
\dfrac{2x^2}{10x^3-2x^2}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{2x^2}{2x^2(5x-1)}
\\\\=
\dfrac{\cancel{2x^2}}{\cancel{2x^2}(5x-1)}
\\\\=
\dfrac{1}{5x-1}
.\end{array}
