Intermediate Algebra (12th Edition)

$3x^3-2x^2+1$
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}