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

Question

Mathematics

Nora Frost

21 August, 16:29

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

+5

Answers (2)

Know the Answer?

Underwood · Answer 1

13.

Step-by-step explanation:

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

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

9 - 4 * - 1

= 13.

Jamari · Answer 2

13

Step-by-step 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