Answer
$3u^2v-11uv^2+11u^2$
Work Step by Step
By combining like terms, the given expression, $
6u^2v-9uv^2+3vu^2-2v^2u+11u^2
,$ simplifies to
\begin{array}{l}\require{cancel}
(6u^2v+3vu^2)+(-9uv^2-2v^2u)+11u^2
\\\\=
3u^2v-11uv^2+11u^2
.\end{array}