# How do you simplify  (7 - 2i) - (5 + 4i)?

Dec 17, 2015

Combine the Real terms and the Imaginary terms separately
to get $\left(2 - 6 i\right)$

#### Explanation:

$\left(7 - 2 i\right) - \left(5 + 4 i\right)$

$\textcolor{w h i t e}{\text{XXX}} = 7 - 2 i - 5 - 4 i$

$\textcolor{w h i t e}{\text{XXX}} = \left(7 - 5\right) + \left(- 2 i - 4 i\right)$

$\textcolor{w h i t e}{\text{XXX}} = 2 + \left(- 6 i\right)$

$\textcolor{w h i t e}{\text{XXX}} = 2 - 6 i$