# How do you simplify #(3 + 4i) (3 + 4i)#?

##### 1 Answer

Jun 7, 2018

#### Explanation:

Your first step would be just like if you multiplied together two binomials: factor out each to get a trinomial. If you use FOIL, it's easy: multiply the First terms, the Outer terms, the Inner terms, and the Last terms:

F:

O:

I:

L:

Sum these together, and you can get your halfway-simplified version:

We know that

Since standard imaginary form is