# How do you simplify #(-6-8i)/(4+12i) #?

##### 1 Answer

Feb 12, 2016

#### Explanation:

We will multiply the numerator and the denominator by something called a "complex conjugate." It is the opposite of the current denominator.

So,

This leads to

Foil the numerators to get

Foil the denominators to get

Remember

Now, the numerator becomes

--->

--->

The denominator becomes

--->

--->

No we have

Reducing we get