# How do you simplify (4+2i) - (5-3i)?

Jan 9, 2016

$- 1 + 5 i$

#### Explanation:

Complex numbers can be added like any others—just think of the $i$ as any other variable.

Distribute the negative sign.

$4 + 2 i - 5 + 3 i$

Combine the like parts.

$\textcolor{red}{4 - 5}$ $\textcolor{b l u e}{+ 2 i + 3 i}$

$- 1 + 5 i$