SOLUTION: (-4-8i)(3+i)

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Question 220507: (-4-8i)(3+i)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28-4-8i%29%2A%283%2Bi%29 Start with the given expression.


%28-4%29%283%29%2B%28-4%29%28i%29%2B%28-8i%29%283%29%2B%28-8i%29%28i%29 FOIL.


-12-4i-24i-8i%5E2 Multiply.


-12-4i-24i-8%28-1%29 Replace i%5E2 with -1. Note: i%5E2=-1.


-12-4i-24i%2B8 Multiply.


-4-28i Combine like terms.


So %28-4-8i%29%2A%283%2Bi%29=-4-28i.


So the expression is now in standard form a%2Bbi where a=-4 and b=-28