Answer
$5x^{4}-3x^{2}+2$
Work Step by Step
Using the property: $\displaystyle \quad\frac{A+B}{C}=\frac{A}{C}+\frac{B}{C},$
$\displaystyle \frac{25x^{7}-15x^{5}+10x^{3}}{5x^{3}}=\frac{25x^{7}}{5x^{3}}-\frac{15x^{5}}{5x^{3}}+\frac{10x^{3}}{5x^{3}}$
$= 5x^{7-3}-3x^{5-3}+2x^{3-3}$
= $5x^{4}-3x^{2}+2$