SOLUTION: What are these answers and how do you do them? 1. (5-2i)(3+4i) 2. 2-3i/1+i 3. 5+2i/3-i 4. 1-2i/3i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: What are these answers and how do you do them? 1. (5-2i)(3+4i) 2. 2-3i/1+i 3. 5+2i/3-i 4. 1-2i/3i      Log On


   

Question 697087: What are these answers and how do you do them?
1. (5-2i)(3+4i)
2. 2-3i/1+i
3. 5+2i/3-i
4. 1-2i/3i
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1.
%285-2i%29%283%2B4i%29
5%2A3%2B5%2A4i-2i%2A3-2i%2A4i
15%2B20i-6i-8%28i%5E2%29
15%2B14i-8%28-1%29
15%2B14i%2B8
23%2B14i

2.
%282-3i%29%2F%281%2Bi%29
%28%282-3i%29%281-i%29%29%2F%28%281%2Bi%29%281-i%29%29

%282%2A1-2%2Ai-3i%2A1-3i%2A%28-i%29%29%2F%281%5E2-i%5E2%29

%282-2i-3i%2B3i%5E2%29%2F%281-%28-1%29%29

%282-5i%2B3%28-1%29%29%2F%281%2B1%29

%282-5i-3%29%2F2

%28-1-5i%29%2F2

-1%2F2-5i%2F2




3.
%285%2B2i%29%2F%283-i%29

%28%285%2B2i%29%283%2Bi%29%29%2F%28%283-i%29%283%2Bi%29%29

%2815%2B5i%2B6i%2B2i%5E2%29%2F%283%5E2-i%5E2%29

%2815%2B11i%2B2%28-1%29%29%2F%289-%28-1%29%29

%2815%2B11i-2%29%2F%289%2B1%29

%2813%2B11i%29%2F10

13%2F10%2B11i%2F10...in form of a fraction

1.3%2B1.1i..in decimal form

4.
%281-2i%29%2F3i

%281-2i%293i%2F%283i%2A3i%29

%283i-6i%5E2%29%2F%289i%5E2%29

%283i-6%28-1%29%29%2F%289%28-1%29%29

%283i%2B6%29%2F%28-9%29

3i%2F-9%2B6%2F-9

-i%2F3-2%2F3