Question

factor by using the difference of two squares
$x^{2}-36$

Explanation:

Step1: Recall difference - of - squares formula

The difference - of - squares formula is $a^{2}-b^{2}=(a + b)(a - b)$.

Step2: Identify a and b

For the expression $x^{2}-36$, we have $a = x$ and $b = 6$ since $x^{2}=a^{2}$ and $36 = 6^{2}$.

Step3: Factor the expression

Using the formula $a^{2}-b^{2}=(a + b)(a - b)$, we get $x^{2}-36=(x + 6)(x - 6)$.

Answer:

$(x + 6)(x - 6)$