# How do you simplify (-1-8i)+(4+3i) and write in a+bi form?

Jan 2, 2016

$\left(- 1 - 8 i\right) + \left(4 + 3 i\right) = 3 - 5 i$

#### Explanation:

When adding complex numbers given in a+bi form, we add real parts and imaginary parts separately:

$\left(- 1 - 8 i\right) + \left(4 + 3 i\right) = - 1 + 4 - 8 i + 3 i =$
$= \left(- 1 + 4\right) + \left(- 8 + 3\right) i = 3 - 5 i$

We could think about complex numbers as vectors on the complex plane, where real part is on x axis and imaginary part is on y axis.