Answer
$6x^3y^2-x^2y^2-xy^2$
Work Step by Step
Using $a(b+c)=ab+ac$ (or the Distributive Property), the given expression, $
xy^2(6x^2-x-1)
,$ is equivalent to
\begin{array}{l}\require{cancel}
xy^2(6x^2)+xy^2(-x)+xy^2(-1)
\\\\=
6x^3y^2-x^2y^2-xy^2
.\end{array}