# How do you simplify 5x(3x^2 - x + 3)?

Apr 11, 2017

See the solution process below:

#### Explanation:

Multiply each term within the parenthesis by the term outside the parenthesis:

$\textcolor{red}{5 x} \left(3 {x}^{2} - x + 3\right) \to$

$\left(\textcolor{red}{5 x} \times 3 {x}^{2}\right) - \left(\textcolor{red}{5 x} \times x\right) + \left(\textcolor{red}{5 x} \times 3\right) \to$

$15 {x}^{3} - 5 {x}^{2} + 15 x$