# How do you simplify  (x – 4)(x^2 + 3x + 2)?

Sep 10, 2015

#### Answer:

$\left(x - 4\right) \left({x}^{2} + 3 x + 2\right) = {x}^{3} - {x}^{2} - 10 x - 8$

#### Explanation:

$\left(\textcolor{red}{x} - \textcolor{b l u e}{4}\right) \left({x}^{2} + 3 x + 2\right)$

$\textcolor{w h i t e}{\text{XXX}} = \textcolor{red}{x} \left({x}^{2} + 3 x + 2\right) - \textcolor{b l u e}{4} \left({x}^{2} + 3 x + 2\right)$

$\textcolor{w h i t e}{\text{XXX}} = \left(\textcolor{red}{{x}^{3} + 3 {x}^{2} + 2 x}\right) - \left(\textcolor{b l u e}{4 {x}^{2} + 14 x + 8}\right)$

$\textcolor{w h i t e}{\text{XXX}} = \left(\textcolor{red}{{x}^{3}}\right) + \left(\textcolor{red}{3} {x}^{2} - \textcolor{b l u e}{4 {x}^{2}}\right) + \left(\textcolor{red}{2 x} - \textcolor{b l u e}{12 x}\right) + \left(\textcolor{b l u e}{- 8}\right)$

$\textcolor{w h i t e}{\text{XXX}} = {x}^{3} - {x}^{2} - 10 x - 8$