Question

question
factor completely.
121x² - 100

Explanation:

Step1: Identify the form

The expression \(121x^2 - 100\) is a difference of squares, which has the form \(a^2 - b^2\), where \(a = 11x\) (since \((11x)^2=121x^2\)) and \(b = 10\) (since \(10^2 = 100\)).

Step2: Apply difference of squares formula

The formula for factoring a difference of squares is \(a^2 - b^2=(a + b)(a - b)\). Substituting \(a = 11x\) and \(b = 10\) into the formula, we get \((11x + 10)(11x - 10)\).

Answer:

\((11x + 10)(11x - 10)\)