Alg2/Trig E: How can we simplify after we multiply or divide complex numbers?

Alg2/Trig E:  

Let's continue exploring operations of complex numbers by multiplying and dividing. Remember your powers of i--they will come in handy when we want to substitute (especially for "i squared").  

Examples: 
Multiply (3 + i)(4 + 2i)
Multiply (2 + i)(2 - i)  <--What happens to the imaginary unit in the product?

1. Assignment: p.278 / 48, 50, 53, 56, 58, 59, 92