Question

factor.

$81 - 25x^2$

Explanation:

Step1: Identify the difference of squares

The expression \(81 - 25x^2\) can be written as \(9^2 - (5x)^2\), 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, \(a = 9\) and \(b = 5x\). Substituting these into the formula, we get \((9 + 5x)(9 - 5x)\).

Answer:

\((9 + 5x)(9 - 5x)\)