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

May 3, 2018

x^2-4x-12

#### Explanation:

You can foil the equation to get

$x \times x + \left(- 6 \times x\right) + \left(2 \times x\right) + \left(- 6 \times 2\right)$

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

which simplifies to ${x}^{2} - 4 x - 12$

May 3, 2018

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

#### Explanation:

Distribute the first X to the (X+2).
$S o X \left(X + 2\right) = {x}^{2} + 2 x .$
Now we repeat with the -6.
$S o - 6 \left(X + 2\right) = - 6 x - 12.$
combine your answers: ${x}^{2} + 2 x + - 6 x - 12.$
Simplify combine like terms and you get ${x}^{2} - 4 x - 12$