Answer
$(b^{2}+1)(11b-6)$
Work Step by Step
$11b^{3}-6b^{2}+11b-6=$
...factor by grouping- pair up the first with the third term and the second with the last.
$=11b(b^{2}+1)-6(b^{2}+1)$
...use the Distributive Property.
$=(b^{2}+1)(11b-6)$