Answer
$3b(b^{3}-3b+2)$
Work Step by Step
$3b^{4}=(3\cdot b)\cdot b\cdot b\cdot b$
$-9b^{2}=-1\cdot 3\cdot(3\cdot b)\cdot b$
$6b=2\cdot(3\cdot b)$
GCF=$3b$
$3b^{4}-9b^{2}+6b$
$...$factor out the GCF
$=3b(b^{3})+3b(-3b)+3b(2)$
$...$apply the Distributive Property.
$=3b(b^{3}-3b+2)$