SOLUTION: Please help. Losing sleep over his one. (1-i)(3+2i) 3-2i+3i+2i=1i+5i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Please help. Losing sleep over his one. (1-i)(3+2i) 3-2i+3i+2i=1i+5i       Log On


   

Question 223523: Please help. Losing sleep over his one.
(1-i)(3+2i) 3-2i+3i+2i=1i+5i
Found 2 solutions by jim_thompson5910, 342881:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281-i%29%2A%283%2B2i%29 Start with the given expression.


%281%29%283%29%2B%281%29%282i%29%2B%28-i%29%283%29%2B%28-i%29%282i%29 FOIL.


3%2B2i-3i-2i%5E2 Multiply.


3%2B2i-3i-2%28-1%29 Replace i%5E2 with -1. Note: i%5E2=-1.


3%2B2i-3i%2B2 Multiply.


5-i Combine like terms.


So %281-i%29%2A%283%2B2i%29=5-i.

Answer by 342881(1) About Me  (Show Source):