#### Answer

$t(t+8)$

#### Work Step by Step

Find the greatest common factor. Find the prime factors of each term and multiply the factors that are common to all the terms.
$t^2=\underline t\times t$
$8t=4\times2\times\underline t$
GCF $=t$
Factor the GCF out of each term. Use the factors from each term that are not part of the GCF.
$t^2+8t=t(t+8)$