SOLUTION: (5-4i)(3+6i)

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Question 128866: (5-4i)(3+6i)
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given expression


Now let's FOIL the expression



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


Multiply the First terms:


Multiply the Outer terms:


Multiply the Inner terms:


Multiply the Last terms:


Now collect every term to make a single expression



Now combine like terms


Replace with . Remember,


Multiply


Combine like terms


---------------------
Answer:
So foils and simplifies to

In other words,

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