Question

question
factor completely.
$x^2 - 36$

Explanation:

Step1: Identify the formula

The expression \(x^2 - 36\) is a difference of squares, which follows the formula \(a^2 - b^2=(a + b)(a - b)\). Here, \(a = x\) and \(b = 6\) (since \(6^2 = 36\)).

Step2: Apply the formula

Substitute \(a = x\) and \(b = 6\) into the difference of squares formula. So \(x^2 - 36=x^2 - 6^2=(x + 6)(x - 6)\).

Answer:

\((x + 6)(x - 6)\)