Question

find the product using a special product formula.
(x - 6)(x + 6)

(x - 6)(x + 6) = \square

Explanation:

Step1: Recognize difference of squares

The expression $(x-6)(x+6)$ matches the difference of squares formula $(a-b)(a+b)=a^2-b^2$, where $a=x$ and $b=6$.

Step2: Apply the special formula

Substitute $a=x$ and $b=6$ into the formula:

$$\begin{align*} (x-6)(x+6)&=x^2 - 6^2\\ &=x^2 - 36 \end{align*}$$

Answer:

$x^2 - 36$