Answer
$(3x+2y)(2x-3y)$
Work Step by Step
$6x^{2}-5xy-6y^{2}=$
two factors of $ac=-36$ whose sum is $b=-5$ are $-9$ and $+4.$
Rewrite the middle term and factor in pairs.
$6x^{2}-5xy-6y^{2}=6x^{2}-9xy+4xy-6y^{2}=$
$=3x(2x-3y)+2(2x-3y)$
$=(3x+2y)(2x-3y)$
