Answer
$= 2g^{3}h - 6g^{2}+ \frac{4}{h}$
Work Step by Step
$\frac{10g^{5}h^{3}-30g^{4}h^{2}+20g^{2}h}{5g^{2}h^{2}}$
$= \frac{5g^{2}h(2g^{3}h^{2}-6g^{2}h+4)}{5g^{2}h(h)}$
$= \frac{2g^{3}h^{2}-6g^{2}h+4}{h}$
$= \frac{2g^{3}h^{2}}{h} - \frac{6g^{2}h}{h} + \frac{4}{h}$
$= \frac{h(2g^{3}h)}{h} - \frac{h(6g^{2})}{h} + \frac{4}{h}$
$= 2g^{3}h - 6g^{2}+ \frac{4}{h}$
