SOLUTION: express in the form x+jy where x and y are real numbers: (5+j3)(3-j)-(3+j)

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Question 105802: express in the form x+jy where x and y are real numbers:
(5+j3)(3-j)-(3+j)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Use the FOIL method for the first expression (First Outer Inner Last)
%285%2B3j%29%283-j%29-%283%2Bj%29=5%2A3%2B5%28-j%29%2B%283j%293%2B%283j%29%28-j%29-3-j FOIL and distributive property.
Remember that j%5E2=-1
%285%2B3j%29%283-j%29-%283%2Bj%29=15-5j%2B9j%2B3-3-j
%285%2B3j%29%283-j%29-%283%2Bj%29=15%2B3-3%2Bj%28-5%2B9-1%29 Group like terms.
%285%2B3j%29%283-j%29-%283%2Bj%29=15%2Bj3 Final answer.