Question

question
factor completely.
$25 - 81x^2$

Explanation:

Step1: Identify the difference of squares

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

Answer:

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