The problem asks us to factor the expression $16x^2 - 49$, which is a difference of two squares.

1. Problem Description

The problem asks us to factor the expression $16x^2 - 49$, which is a difference of two squares.

2. Solution Steps

We can use the difference of squares formula:

$a^2 - b^2 = (a - b)(a + b)$

In our expression, $16x^2 - 49$, we can identify $a^2 = 16x^2$ and $b^2 = 49$. Thus, $a = \sqrt{16x^2} = 4x$ and $b = \sqrt{49} = 7$.

Substituting these values into the formula, we have:

$16x^2 - 49 = (4x - 7)(4x + 7)$

3. Final Answer

$(4x-7)(4x+7)$