# How do you multiply #(4 + 2i)(3 - i) #?

##### 1 Answer

Jun 19, 2018

#### Explanation:

Like the way we would with real numbers, we can multiply out these binomials using the mnemonic FOIL (Firsts, Outsides, Insides, Lasts). This is the order we multiply in. We get

- First terms:
#4*3=12# - Outside terms:
#4*-i=-4i# - Inside terms:
#2i*3=6i# - Last terms:
#2i*-i=-2i^2#

Which simplifies to

Note that

Hope this helps!