# How do you find the product of (x + 2)(x - 2)?

Jul 4, 2017

${x}^{2} - 4$

#### Explanation:

$\text{each term in the second bracket is multiplied by each term}$
$\text{in the first bracket}$

$\left(\textcolor{red}{x + 2}\right) \left(x - 2\right)$

$= \textcolor{red}{x} \left(x - 2\right) \textcolor{red}{+ 2} \left(x - 2\right)$

$= \left(\textcolor{red}{x} \times x\right) + \left(\textcolor{red}{x} \times - 2\right) + \left(\textcolor{red}{2} \times x\right) + \left(\textcolor{red}{2} \times 2\right)$

$= {x}^{2} + \left(- 2 x\right) + 2 x + 4$

$= {x}^{2} - 2 x + 2 x + 4$

$= {x}^{2} - 4$