# How do you simplify -4x(x^2 - 8x + 3)?

Jun 14, 2017

See a solution process below:

#### Explanation:

To simplify, multiply each term within the parenthesis by the term outside the parenthesis:

$\textcolor{red}{- 4 x} \left({x}^{2} - 8 x + 3\right) \implies$

$\left(\textcolor{red}{- 4 x} \times {x}^{2}\right) - \left(\textcolor{red}{- 4 x} \times 8 x\right) + \left(\textcolor{red}{- 4 x} \times 3\right) \implies$

$- 4 {x}^{3} - \left(- 32 {x}^{2}\right) + \left(- 12 x\right) \implies$

$- 4 {x}^{3} + 32 {x}^{2} - 12 x$