Answer
$3x^3-2x^2+1$
Work Step by Step
Dividing the denominator to each of the terms of the numerator, the given expression, $
\dfrac{15x^3-10x^2+5}{5}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{15x^3}{5}-\dfrac{10x^2}{5}+\dfrac{5}{5}
\\\\=
3x^3-2x^2+1
.\end{array}