## Intermediate Algebra (12th Edition)

$3+\dfrac{5}{m}+\dfrac{6}{m^2}$
Dividing the denominator to each of the terms of the numerator, the given expression, $\dfrac{15m^3+25m^2+30m}{5m^3} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{15m^3}{5m^3}+\dfrac{25m^2}{5m^3}+\dfrac{30m}{5m^3} \\\\= 3+\dfrac{5}{m}+\dfrac{6}{m^2} .\end{array}