Question

factor.
49 - 4v²

Explanation:

Step1: Identify the difference of squares

The expression \(49 - 4v^2\) can be written as \(7^2-(2v)^2\), 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 \(b = 2v\). Substituting these into the formula, we get \((7 + 2v)(7 - 2v)\).

Answer:

\((7 + 2v)(7 - 2v)\)