# How do you simplify x(x^2 + 6x - 7)?

Jan 20, 2017

${x}^{3} + 6 {x}^{2} - 7 x$

#### Explanation:

Each term in the bracket is $\textcolor{b l u e}{\text{multiplied}}$ by x. This is called the $\textcolor{b l u e}{\text{distributive law}} .$

$\Rightarrow \textcolor{red}{x} \left({x}^{2} + 6 x - 7\right)$

$= \left(\textcolor{red}{x} \times {x}^{2}\right) + \left(\textcolor{red}{x} \times 6 x\right) - \left(\textcolor{red}{x} \times 7\right)$

$= {x}^{3} + 6 {x}^{2} - 7 x$