# Question #004e6

Jan 10, 2018

$10 - 5 i$

#### Explanation:

The first step would be to distribute the negative outside of the parenthesis into the $- 8$ and $3 i$. When you distribute the negative you should get this expression

$- 2 i + 8 - 3 i + 2$

Then it's just a matter of combining like terms. So you would combine the $- 2 i$ and the $- 3 i$ and the $8$ and $2$. Making the answer come out to be $10 - 5 i$.

The ten will go first because it is a real number. The $- 5 i$ will go second as the imaginary unit $i$ is not real.

Jan 10, 2018

$10 - 5 i$
$\text{distribute brackets and collect like terms}$
$\Rightarrow \textcolor{red}{- 2 i} \textcolor{b l u e}{+ 8} \textcolor{red}{- 3 i} \textcolor{b l u e}{+ 2}$
$= 10 - 5 i \leftarrow \textcolor{b l u e}{\text{in standard form}}$