Answer
$9c(5c^{4}-7c^{2}+3)$
Work Step by Step
$45c^{3}=(3\cdot 3)\cdot 5\cdot(c)\cdot c\cdot c\cdot c\cdot c$
$-63c^{3}=-1\cdot(3\cdot 3)\cdot 7\cdot(c)\cdot c\cdot c$
$27c=(3\cdot 3)\cdot 3\cdot(c)$
GCF=$9c$
$45c^{5}-63c^{3}+27c$
$...$factor out the GCF
$=9c(5c^{4})+9c(-7c^{2})+9c(3)$
$...$apply the Distributive Property.
$=9c(5c^{4}-7c^{2}+3)$