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

##### 1 Answer

Jun 19, 2018

#### Explanation:

Like we would do with real numbers, we can multiply this out with FOIL (Firsts, Outsides, Insides, Lasts). This is the order we multiply in. We get

- First terms:
#-5*-2=10# - Outside terms:
#-5*2i=-10i# - Inside terms:
#-i*-2=2i# - Last terms:
#-i*2i=-2i^2#

This leaves us with

Which can be simplified further as

Note that

Which finally simplifies to

Hope this helps!