# How do you simplify ( 2 + 3i) - ( -4 - 4i)?

Jan 31, 2016

Explanation is given below

#### Explanation:

To simplify $\left(2 + 3 i\right) - \left(- 4 - 4 i\right)$
Start by opening up the parenthesis

$= 2 + 3 i - \left(- 4\right) - \left(- 4 i\right) \quad$distribute the negative
$= 2 + 3 i + 4 + 4 i \quad$ $\text{negative" xx "negative" =" positive}$

Collect the real parts together and do the same for imaginary parts.

$= 2 + 4 + 3 i + 4 i$

$= 6 + 7 i$

Jan 31, 2016

6 + 7i