Answer
$4b(4b^{3}+2b+5)$
Work Step by Step
List factors of each term. Note the common factors.
$16b^{4}=2\cdot 2\cdot(2\cdot 2)\cdot(b)\cdot b\cdot b\cdot b$
$8b^{2}=(2\cdot 2)\cdot 2\cdot(b)\cdot b$
$20b=(2\cdot 2)\cdot 5\cdot(b)$
GCF=$(2\cdot 2)\cdot(b)$, or $4b$.
$16b^{4}+8b^{2}+20b$ = ...factor out the GCF from each term.
$=4b(4b^{3})+4b(2b)+4b(5)$ ...apply the Distributive Property.
=$4b(4b^{3}+2b+5)$