Answer
$-2x^2-4xy+3y^2$
Work Step by Step
By combining like terms, the given expression, $
3x^2+6xy+3y^2-5x^2-10xy
,$ simplifies to
\begin{array}{l}\require{cancel}
(3x^2-5x^2)+(6xy-10xy)+3y^2
\\\\=
-2x^2-4xy+3y^2
.\end{array}
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