Answer
$(3h-2)(3h+2)(2h+5)$
Work Step by Step
$18h^{3}+45h^{2}-8h-20=$
...factor out the GCF of each group of two terms.
$=9h^{2}(2h+5)-4(2h+5)$
...factor out the common factor, $2h+5$.
$=(9h^{2}-4)(2h+5)$
...write $9h^{2}-4$ as a difference of two squares.
$=(3h-2)(3h+2)(2h+5)$