# How do you multiply (x + 2)(x - 6)?

Jun 26, 2016

$\left(x + 2\right) \left(x - 6\right) = {x}^{2} - 4 x - 12$

#### Explanation:

We can use the FOIL mnemonic to help identify the combinations we need to multiply and add:

$\left(x + 2\right) \left(x - 6\right) = {\overbrace{\left(x \cdot x\right)}}^{\text{First" + overbrace((x*-6))^"Outside" + overbrace((2*x))^"Inside" + overbrace((2*-6))^"Last}}$

$= {x}^{2} - 6 x + 2 x - 12$

$= {x}^{2} - 4 x - 12$