Question

question
factor completely.
$49 - 16x^2$

Explanation:

Step1: Identify the difference of squares

The expression \(49 - 16x^2\) can be written as \(7^2-(4x)^2\), which is a difference of squares. The formula for factoring a difference of squares is \(a^2 - b^2=(a + b)(a - b)\).

Step2: Apply the difference of squares formula

Here, \(a = 7\) and \(b = 4x\). Substituting these into the formula, we get \((7 + 4x)(7 - 4x)\).

Answer:

\((7 + 4x)(7 - 4x)\)