# How do you simplify (3+2i)+(-4+6i)?

Jan 11, 2017

$- 1 + 8 i$

#### Explanation:

We add complex numbers by collecting real and imaginary terms separately:

$\left(3 + 2 i\right) + \left(- 4 + 6 i\right)$
$\setminus \setminus \setminus \setminus \setminus \setminus \setminus = 3 + 2 i - 4 + 6 i$
$\setminus \setminus \setminus \setminus \setminus \setminus \setminus = 3 - 4 + 2 i + 6 i$
$\setminus \setminus \setminus \setminus \setminus \setminus \setminus = - 1 + 8 i$