Question

question
factor completely.
$x^2 - 36$

Explanation:

Step1: Identify the form

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

Step2: Apply the difference of squares formula

The formula for factoring a difference of squares is $a^2 - b^2 = (a + b)(a - b)$. Substituting $a = x$ and $b = 6$ into the formula, we get $(x + 6)(x - 6)$.

Answer:

$\boldsymbol{(x + 6)(x - 6)}$