Answer
$-6x^4y^2-13x^2y^2+6xy$
Work Step by Step
Removing the grouping symbols and then combining like terms, the given expression, $
(6x^4y^2-10x^2y^2+7xy)+(-12x^4y^2-3x^2y^2-xy)
,$ simplifies to
\begin{array}{l}\require{cancel}
6x^4y^2-10x^2y^2+7xy-12x^4y^2-3x^2y^2-xy
\\\\=
(6x^4y^2-12x^4y^2)+(-10x^2y^2-3x^2y^2)+(7xy-xy)
\\\\=
-6x^4y^2-13x^2y^2+6xy
.\end{array}