Answer
$(3q^{2} -2)(5q - 6)$
Work Step by Step
$15q^{3} - 18q^{2} - 10q - 12$
Factor by grouping, group the first two terms and last two terms together.
$(15q^{3} - 18q^{2}) - (10q - 12)$
Factor out the common factors from both parenthesis.
$3q^{2}(5q - 6) -2(5q - 6)$
We take (5q - 6) and factor it out which gives us.
$(3q^{2} -2)(5q - 6)$