# Question #77a04

Mar 15, 2017

$2 {x}^{2} + 2 x$

Mar 15, 2017

$2 {x}^{2} + 2 x$

#### Explanation:

$\text{The "color(blue)"distributive property}$

Multiply the sum or difference inside a bracket by the value outside the bracket and evaluate.

$\Rightarrow \textcolor{b l u e}{5} \left(\textcolor{red}{4 x + 3}\right)$

$= \left(\textcolor{b l u e}{5} \times \textcolor{red}{4 x}\right) + \left(\textcolor{b l u e}{5} \times \textcolor{red}{3}\right)$

$= 20 x + 15$

$\Rightarrow \textcolor{red}{2 x} \left(x + 1\right) \leftarrow \text{ your question}$

$= \left(\textcolor{red}{2 x} \times x\right) + \left(\textcolor{red}{2 x} \times 1\right)$

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