Answer
$(w^{2}+1)(11w-9)$
Work Step by Step
$11w^{3}-9w^{2}+11w-9=$
...factor out the GCF of each group of two terms.
$=w^{2}(11w-9)+1(11w-9)$
...factor out the common factor, $11w-9$.
$=(w^{2}+1)(11w-9)$
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