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

Algebra ->  Algebra  -> Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: simplify (3+2i)(2-5i)      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 219558: simplify (3+2i)(2-5i)
Answer by jim_thompson5910(21667) 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