Answer
$3(3a - 4)(a^{2}+ 2)$
Work Step by Step
$9a^{3} - 12a^{2} + 18a - 24$
We see that the terms have a common factor of 3 so we factor out a 3.
$3(3a^{3} - 4a^{2} + 6a - 8)$
Factor by grouping, group the first two terms and last two terms together.
$3(3a^{3} - 4a^{2}) + (6a - 8)$
Factor out the common factors from both parenthesis.
$3(a^{2}(3a - 4) + 2(3a - 4)$
We take $(3a - 4)$ and factor it out which gives us.
$3(3a - 4)(a^{2}+ 2)$
