#### Answer

$$4(2x+5)(2x-5)$$

#### Work Step by Step

$16x^{2}-100$
In this case we can factor out a 4, so
$4(4x^{2}-25)$
This is the difference between two squares.
There is a simple formula for this case:
$x^{2}-y^{2}=(x+y)(x-y)$
So, applying this formula,
We need to take the square of both terms.
$\sqrt 4x^{2}=2x$
$\sqrt 25=5$
So the answer would look like:
$$4(2x+5)(2x-5)$$
(One with a positive sign and one with a negative sign and remember to multiply it by the common factor you took out!)