SOLUTION: Perform indicated operation and simplify. Write each answer in form of a+bi 1. (4+i)(2+3i) 2. 3i/4+2i 3. (5-2i)/(3+6i)

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Perform indicated operation and simplify. Write each answer in form of a+bi 1. (4+i)(2+3i) 2. 3i/4+2i 3. (5-2i)/(3+6i)      Log On


   

Question 357140: Perform indicated operation and simplify. Write each answer in form of a+bi
1. (4+i)(2+3i)
2. 3i/4+2i
3. (5-2i)/(3+6i)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started.

# 1


%284%2Bi%29%2A%282%2B3i%29 Start with the given expression.


%284%29%282%29%2B%284%29%283i%29%2B%28i%29%282%29%2B%28i%29%283i%29 FOIL.


8%2B12i%2B2i%2B3i%5E2 Multiply.


8%2B12i%2B2i%2B3%28-1%29 Replace i%5E2 with -1. Note: i%5E2=-1.


8%2B12i%2B2i-3 Multiply.


5%2B14i Combine like terms.


So %284%2Bi%29%2A%282%2B3i%29=5%2B14i.