Question

If u=(3+2i) and v=(3-2i) what is uv?

Answer 1

13.

Explanation:

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

= 9 - 6i + 6i - 4i^2 Note that i^2 = -1 so we have

9 -4 * -1

= 13.

Answer 2

13

Explanation:

u=(3+2i) v=(3-2i)

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

FOIL

first: 3*3 = 9

outer: -2i*3 = -6i

inner: 2i*3 = 6i

last = 2i*-2i = -4i^2 =-4 (-1) = 4

Add together

9-6i+6i +4 = 13