Answer
$9(8x^{3}+6x^{2}+3)$
Work Step by Step
List the factors of each term, note the common factors:
$72x^{3}=2\cdot 2\cdot 2\cdot(3\cdot 3)\cdot x\cdot x\cdot x$
$54x^{2}=2\cdot(3\cdot 3)\cdot 3\cdot x\cdot x\cdot x$
$27=(3\cdot 3)\cdot 3$
GCF=$(3\cdot 3)$, or $9$.
$72x^{3}+54x^{2}+27$ = ...factor out the GCF from each term.
$=9(8x^{3})+9(6x^{2})+9(3)$
...apply the Distributive Property.
=$9(8x^{3}+6x^{2}+3)$
