SOLUTION: simplify (3+2i)(2-5i)

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Question 219558: simplify (3+2i)(2-5i)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2B2i%29%2A%282-5i%29 Start with the given expression.


%283%29%282%29%2B%283%29%28-5i%29%2B%282i%29%282%29%2B%282i%29%28-5i%29 FOIL.


6-15i%2B4i-10i%5E2 Multiply.


6-15i%2B4i-10%28-1%29 Replace i%5E2 with -1.


6-15i%2B4i%2B10 Multiply.


16-11i Combine like terms.


So %283%2B2i%29%2A%282-5i%29=16-11i