Answer
$(3x+2y)(2x-3y)$
Work Step by Step
$6x^{2}-5xy-6y^{2}$
... Searching for two factors of $ac=6\cdot(-6)$ whose sum is $b=-5,$
we find$\qquad 4$ and $-9.$
Rewrite the middle term and factor in pairs:
$=6x^{2}+4xy-9xy-6y^{2}=$
$=2x(3x+2y)-3y(3x+2y)$
= $(3x+2y)(2x-3y)$
