# Question #6d96f

Jan 30, 2017

$4 {x}^{2} + 2 x + 0.25$

#### Explanation:

First you need to understand that ${\left(2 x + \frac{1}{2}\right)}^{2}$ is the same as

$\left(2 x + \frac{1}{2}\right) \left(2 x + \frac{1}{2}\right)$

Then we multiply out the brackets;

$\textcolor{red}{2 x \times 2 x} + \textcolor{b l u e}{x + x} + \textcolor{g r e e n}{\frac{1}{2} \times \frac{1}{2}}$

$\textcolor{red}{4 {x}^{2}} + \textcolor{b l u e}{2 x} + \textcolor{g r e e n}{0.25}$