Question

factor.
64 - 81u²

Explanation:

Step1: Identify the difference of squares

The expression \(64 - 81u^2\) can be written as \(8^2-(9u)^2\), 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, \(a = 8\) and \(b = 9u\). Substituting these into the formula, we get \((8 + 9u)(8 - 9u)\).

Answer:

\((8 + 9u)(8 - 9u)\)