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

Jan 2, 2016

$- 8 + 2 i$

#### Explanation:

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

$\left(- 3 - 3 x\right) - \left(5 - 5 x\right)$

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

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

$\left(- 3 - 3 i\right) + \left(- 5 + 5 i\right)$

From here, add the constants and imaginary parts separately.

$\left(- 3 - 5\right) + \left(- 3 i + 5 i\right)$

$- 8 + 2 i$