# How do you simplify 2x(5x+10)?

Jan 23, 2017

$= 10 {x}^{2} + 20 x$

#### Explanation:

To simplify this expression, we want to distribute the $2 x$ term to each term inside the parentheses:

$\textcolor{b l u e}{2 x} \left(5 x + 10\right)$

$= \textcolor{b l u e}{2 x} \times 5 x + \textcolor{b l u e}{2 x} \times 10$

$= \left(2 \times 5\right) {x}^{2} + \left(2 \times 10\right) x$

$= 10 {x}^{2} + 20 x$