Question

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

Answer 1

13.

Explanation:

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

= (3 * 3) + (-2i * 3) + (2i * 3) + (-2i * 2i)

= 9 - 6i + 6i - 4
`√(-1) ^(2)`

= 9 - 4(-1)

= 9 + 4

= 13

Hope this helps!

Answer 2

13

Explanation:

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

Expand

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

Add

(9 - 4i^2)

Convert i^2

i^2 = (
`√(-1)`)^2 = -1

(9 - 4(-1))

Add

(9 + 4)

= 13