SOLUTION: Simplify {{{(6+2i)(-4-3i)}}}

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Question 142984: Simplify %286%2B2i%29%28-4-3i%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%286%2B2i%29%28-4-3i%29 Start with the given expression


Now let's FOIL the expression



Remember, when you FOIL an expression, you follow this procedure:


%28highlight%286%29%2B2i%29%28highlight%28-4%29-3i%29 Multiply the First terms:%286%29%2A%28-4%29=-24


%28highlight%286%29%2B2i%29%28-4%2Bhighlight%28-3i%29%29 Multiply the Outer terms:%286%29%2A%28-3i%29=-18i


%286%2Bhighlight%282i%29%29%28highlight%28-4%29-3i%29 Multiply the Inner terms:%282i%29%2A%28-4%29=-8i


%286%2Bhighlight%282i%29%29%28-4%2Bhighlight%28-3i%29%29 Multiply the Last terms:%282i%29%2A%28-3i%29=-6i%5E2=-6%28-1%29=6


-24-18i-8i%2B6 Now collect every term to make a single expression



-18-26i Now combine like terms


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Answer:
So %286%2B2i%29%28-4-3i%29 foils and simplifies to -18-26i

In other words, %286%2B2i%29%28-4-3i%29=-18-26i