SOLUTION: perform the indicated operation. write answer in standard form (1+8i)(6+4i)

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Question 212963: perform the indicated operation. write answer in standard form
(1+8i)(6+4i)
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Perform the indicated operation. write answer in standard form

%281%2B8i%29%286%2B4i%29

Step 1. Using the FOIL method, we have

%281%2B8i%29%286%2B4i%29=+1%2A6%2B8i%2A6%2B1%2A4i%2B%288i%29%284i%29

%281%2B8i%29%286%2B4i%29=+6%2B48i%2B4i%2B32i%5E2

%281%2B8i%29%286%2B4i%29=+6%2B52i-32

where i%5E2=-1 since sqqrt%28-1%29%2Asqrt%28-1%29=-1 and i=sqrt%28-1%29.

As a result, 32i%5E2=-32 was used in the previous equation

Simplifying the last equation yields the following

%281%2B8i%29%286%2B4i%29=+-26%2B52i

Step 2. Answer is %281%2B8i%29%286%2B4i%29=+-26%2B52i

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J