Answer
$9t(t-2)(t-8)$
Work Step by Step
$9t^{3}-90t^{2}+144t=$
...factor out the GCF.
$=9t(t^{2}-10t+16)$
...rewrite $-10t$ as $-8t-2t$.
$=9t(t^{2}-8t-2t+16)$
...factor by grouping.
$=9t[t(t-8)-2(t-8)]$
...factor again.
$=9t(t-2)(t-8)$