Answer
$9t(t-8)(t-2)$
Work Step by Step
Given:
$9t(t^{2}-10t+16)$
Now, $1\times16=$$-2\times-8$
Therefore, break the term $-10t$ as $(-2t-8t)$
This becomes:
$=9t(t^{2}-2t-8t+16)$
$=9t(t(t-2)-8(t-2))$
$=9t((t-8)(t-2))$
$=9t(t-8)(t-2)$