Question

Pls answer w explanation!

What is the product of the complex numbers 2 + 6i and 2 - 6i? (Note: i= √-1)

Answer 1

10

Explanation:

Apply difference of squares.

`(x + y)(x - y) = {x}^(2) - {y}^(2)`

`(2 + 6i)(2 - 6i) = {2}^(2) - {6i}^(2)`

`= 4 + 6`

`= 10`