Answer
$6(3x-5)(2x+1)^{2}(5x-4)$
Work Step by Step
We factor by grouping to obtain:
$2(3x-5)* 3(2x+1)^{3}+(3x-5)^{2}* 3(2x+1)^{2}* 2
=6(3x-5)(2x+1)^{3}+6(3x-5)^{2}(2x+1)^{2}
=6(3x-5)(2x+1)^{2}[(2x+1)^1+(3x-5)^1]
=6(3x-5)(2x+1)^{2}(2x+1+3x-5)
=6(3x-5)(2x+1)^{2}(5x-4)$