Question

question
factor completely.
$81x^2 - 49$
answer attempt 1 out of 2

Explanation:

Step1: Identify the form

The expression \(81x^2 - 49\) is a difference of squares, since \(81x^2=(9x)^2\) and \(49 = 7^2\). The formula for factoring a difference of squares is \(a^2 - b^2=(a + b)(a - b)\).

Step2: Apply the formula

Let \(a = 9x\) and \(b = 7\). Then, substituting into the difference of squares formula, we get \((9x + 7)(9x - 7)\).

Answer:

\((9x + 7)(9x - 7)\)