Answer
$2(4x+5)^{2}(5x+1)(50x+31)$
Work Step by Step
We factor by grouping to obtain:
$3(4x+5)^{2}* 4(5x+1)^{2}+(4x+5)^{3}* 2(5x+1)* 5
=2*6(4x+5)^{2}(5x+1)^{2}+2*5(4x+5)^{3}(5x+1)
=2(4x+5)^{2}(5x+1)[6(5x+1)^1+5(4x+5)^1]
=2(4x+5)^{2}(5x+1)(30x+6+20x+25)
=2(4x+5)^{2}(5x+1)(50x+31)$