Answer
$2x^2-3xy+y^2$
Work Step by Step
Removing the grouping symbols and then combining like terms, the given expression, $
(2x^2-3xy+y^2)+(-4x^2-6xy-y^2)+(4x^2+6xy+y^2)
,$ simplifies to
\begin{array}{l}\require{cancel}
2x^2-3xy+y^2-4x^2-6xy-y^2+4x^2+6xy+y^2
\\\\=
(2x^2-4x^2+4x^2)+(-3xy-6xy+6xy)+(y^2-y^2+y^2)
\\\\=
2x^2-3xy+y^2
.\end{array}