Answer
$$(t-8)^2$$
Work Step by Step
Since the coefficient of the squared term is one, we know that the expression must factor to:
$$ (t\pm a)(t\pm b)$$
Here, we see that a and b must multiply to get $64$ and add to get $-16$. Thus, we find that the solution is:
$$(t-8)(t-8)=(t-8)^2$$