Question

factor.
36 - 49v²

Explanation:

Step1: Identify the form

The expression \(36 - 49v^2\) is a difference of squares. The formula for factoring a difference of squares is \(a^2 - b^2=(a + b)(a - b)\).

Step2: Determine \(a\) and \(b\)

Here, \(a^2 = 36\), so \(a=\sqrt{36}=6\). And \(b^2 = 49v^2\), so \(b=\sqrt{49v^2}=7v\).

Step3: Apply the formula

Substitute \(a = 6\) and \(b = 7v\) into the difference of squares formula: \(36 - 49v^2=(6 + 7v)(6 - 7v)\).

Answer:

\((6 + 7v)(6 - 7v)\)