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

##### 1 Answer
Feb 25, 2016

$3 - i$

#### Explanation:

If we begin with $\left(5 + 2 i\right) - \left(2 + 3 i\right)$, the first step is to multiply the $- 1$
into the $2 + 3 i$ parentheses, which becomes $5 + 2 i - 2 - 3 i$. From here we just combine like-terms, like $5$ and $- 2$, as well as $2 i$ and $- 3 i$. This leaves us with $3 - i$.