SOLUTION: WRITE AS A COMPLEX NUMBER IN STANDARD FORM ;) (4-i)(-2+6i)

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Question 187953: WRITE AS A COMPLEX NUMBER IN STANDARD FORM ;)

(4-i)(-2+6i)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%284-i%29%2A%28-2%2B6i%29 Start with the given expression.


%284%29%28-2%29%2B%284%29%286i%29%2B%28-i%29%28-2%29%2B%28-i%29%286i%29 FOIL.


-8%2B24i%2B2i-6i%5E2 Multiply.


-8%2B24i%2B2i-6%28-1%29 Replace i%5E2 with -1. Note: i%5E2=-1.


-8%2B24i%2B2i%2B6 Multiply.


-2%2B26i Combine like terms.


So %284-i%29%2A%28-2%2B6i%29=-2%2B26i.


So the expression is now in standard form a%2Bbi where a=-2 and b=26