Question

What is the value of the product (3 - 2i)(3+2i)?

Answer 1

13

Explanation:

1. Distribute each term in the first binomial to each term in the second binomial, FOIL (first, outer, inner, last)

(3 - 2i) (3 + 2i)

9 + 6i - 6i -
`4i^(2)`

2. Simplify

9 -
`4i^(2)`

3. Solve for i.
`i^(2)` = -1

9 - 4 (-1)

9 + 4 = 13

hope this helps!