Question

factor. 49 - v²

Explanation:

Step1: Identify the difference of squares

The expression \(49 - v^2\) is a difference of squares, since \(49 = 7^2\) and \(v^2\) is a square term. The formula for factoring a difference of squares is \(a^2 - b^2=(a + b)(a - b)\).
Here, \(a = 7\) and \(b = v\).

Step2: Apply the difference of squares formula

Substitute \(a = 7\) and \(b = v\) into the formula:
\(49 - v^2=7^2 - v^2=(7 + v)(7 - v)\)

Answer:

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