SOLUTION: Express the product of 4-3i and 2+i in simplest a+bi form. Thank You!!!

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Question 183789: Express the product of 4-3i and 2+i in simplest a+bi form.
Thank You!!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%284-3i%29%2A%282%2Bi%29 Start with the given expression.


%284%29%282%29%2B%284%29%28i%29%2B%28-3i%29%282%29%2B%28-3i%29%28i%29 FOIL.


8%2B4i-6i-3i%5E2 Multiply.


8%2B4i-6i-3%28-1%29 Replace i%5E2 with -1. Note: i%5E2=-1.


8%2B4i-6i%2B3 Multiply.


11-2i Combine like terms.


So %284-3i%29%2A%282%2Bi%29=11-2i.


So the expression is now in standard form a%2Bbi where a=11 and b=-2