Answer
$(2x+y)(3x-5y)$
Work Step by Step
$6x^{2}-7xy-5y^{2}$
... Searching for two factors of $ac=6\cdot(-5)$ whose sum is $b=-7,$
we find$\qquad 3$ and $-10.$
Rewrite the middle term and factor in pairs:
$=6x^{2}+3xy-10xy-5y^{2}=$
$=3x(2x+y)-5y(2x+y)$
= $(2x+y)(3x-5y)$
