Question

factor.
$9u^2 - 64$

Explanation:

Step1: Identify as difference of squares

The expression \(9u^2 - 64\) can be written as \((3u)^2 - 8^2\), 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, \(a = 3u\) and \(b = 8\). Substituting into the formula, we get \((3u + 8)(3u - 8)\).

Answer:

\((3u + 8)(3u - 8)\)