Question

Jamal is doing electronics engineering research and determines the result of his analysis can be expressed in terms of Complex Numbers. His result is (8-4i)(3i+2) - (5-i) Jamal simplified this expression but doesn’t trust his result. Will you help him by simplifying this complex expression?

A: Explain in your own words the value of “I” and the value of “i^2” (short answers please)

B: Copy the problem carefully and show all the steps needed to arrive at the final simplified answer. You must show all your work for full credit.

C: write your final, simplified expression in standard complex number form for Jamal.

Answer 1

Answer:

1. The value of i is √(-1), and the value of i^2 is -1, since i*i is just √(-1)*√(-1).

2. I did the first part of the equation, the multiplying of (8-4i)(3i+2), and then subtracted (5-i). Multiply equation part of the equations by each other, as down below.

8*3i=24i

8*2=16

-4i*3i=12

-4i*2=-8i

Combine like terms.

24i-8i=16i

16+12=28

28+16i

Then do -(5-i), and combine like terms.

28+16i-(5-i)

28-5=23

16i-(-i) =17i

23+17i

3. Standard complex number form is a+bi, which I already have it in.

23+17i