Answer
The difference of two squares.$\qquad(3h+8)(3h-8)$
Work Step by Step
$9h^{2}-64=$
...write each term as a square.
$=(3h)^{2}-8^{2}$
...factor using the rule for a difference of two squares.
$a^{2}-b^{2}=(a+b)(a-b),\qquad a=3h,\ b=8$
$=(3h+8)(3h-8)$
The difference of two squares.$\qquad(3h+8)(3h-8)$