Answer
$3h^{3}(10h^{2}-2h-5)$
Work Step by Step
$30h^{5}=2\cdot(3)\cdot 5\cdot h\cdot h\cdot[h\cdot h\cdot h]$
$-6h^{4}=-1\cdot 2\cdot(3)\cdot h\cdot[h\cdot h\cdot h]$
$-15h^{3}=-1\cdot(3)\cdot 5\cdot[h\cdot h\cdot h]$
GCF=$3h^{3}$
$30h^{5}-6h^{4} -15h^{3}$
...factor out the GCF
$=3h^{3}(10h^{2})+3h^{3}(-2h)+3h^{3}(-5) $
$...$apply the Distributive Property.
$=3h^{3}(10h^{2}-2h-5)$