Question

question
factor completely.
121 - 25x²

Explanation:

Step1: Identify the difference of squares

The expression \(121 - 25x^2\) is a difference of squares, since \(121 = 11^2\) and \(25x^2=(5x)^2\). The formula for factoring a difference of squares is \(a^2 - b^2=(a + b)(a - b)\).

Step2: Apply the difference of squares formula

Let \(a = 11\) and \(b = 5x\). Substituting into the formula, we get:
\(121 - 25x^2=11^2-(5x)^2=(11 + 5x)(11 - 5x)\)

Answer:

\((11 + 5x)(11 - 5x)\)