# How do you multiply (x - 2)(x + 3)(x - 4)?

Mar 17, 2018

$\left({x}^{3} - 3 {x}^{2} - 10 x + 24\right)$

#### Explanation:

First, take 2 terms and times them eg

$\left(x - 2\right) \left(\left(x + 3\right) \left(x - 4\right)\right)$
$\left(x - 2\right) \left({x}^{2} - 4 x + 3 x - 12\right)$
Simplify by combining like terms
$\left(x - 2\right) \left({x}^{2} - x - 12\right)$
Then times everything in the second term by x then -2
$\left({x}^{3} - {x}^{2} - 12 x - 2 {x}^{2} + 2 x + 24\right)$
Simplify by combining like terms
$\left({x}^{3} - 3 {x}^{2} - 10 x + 24\right)$