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

##### 1 Answer

Jan 2, 2016

#### Explanation:

Complex numbers can be added like anything else. This expression is no different than

#(-3-3x)-(5-5x)#

The only potential stumbling blocks are positives/negatives and combining like terms.

First, distribute the negative sign into the second pair of parentheses.

#(-3-3i)+(-5+5i)#

From here, add the constants and imaginary parts separately.

#(-3-5)+(-3i+5i)#

#-8+2i#