# How do you simplify 2x(x^2-3)?

Apr 4, 2017

$2 {x}^{3} - 6 x$

#### Explanation:

Each term in the bracket is multiplied by 2x as shown below.

$\textcolor{red}{2 x} \left({x}^{2} - 3\right)$

$= \left(\textcolor{red}{2 x} \times {x}^{2}\right) + \left(\textcolor{red}{2 x} \times - 3\right)$

$= 2 {x}^{3} + \left(- 6 x\right)$

$= 2 {x}^{3} - 6 x$