Answer
$(5x-6y)(2x+7y)$
Work Step by Step
Using factoring by grouping, the given expression, $
10x^2-12xy+35xy-42y^2
,$ is equivalent to
\begin{array}{l}\require{cancel}
(10x^2-12xy)+(35xy-42y^2)
\\\\=
2x(5x-6y)+7y(5x-6y)
\\\\=
(5x-6y)(2x+7y)
.\end{array}