# How do you combine like terms in (4+ 4i ) - ( 9+ 17i )?

Apr 4, 2017

$- 5 - 13 i$

#### Explanation:

Before combining like terms, you must remove the brackets. To do this, you must distribute the number or the sign (in this case $-$) across the numbers in the bracket.

So, after doing this, you would have

$4 + 4 i - 9 - 17 i$

Then it is just basic combining like things (apples to apples). Add up all the variables $i$

$+ 4 i - 17 i = - 13 i$

Then the numbers

$4 - 9 = - 5$

Therefore,

$- 5 - 13 i$