SOLUTION: can you PLEASE!!! help me solve (5-6i)(1-i) thankyou :)

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Question 551692: can you PLEASE!!! help me solve (5-6i)(1-i) thankyou :)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%285-6i%29%2A%281-i%29 Start with the given expression.


%285%29%281%29%2B%285%29%28-i%29%2B%28-6i%29%281%29%2B%28-6i%29%28-i%29 FOIL.


5-5i-6i%2B6i%5E2 Multiply.


5-5i-6i%2B6%28-1%29 Replace i%5E2 with -1. Note: i%5E2=-1.


5-5i-6i-6 Multiply.


-1-11i Combine like terms.


So %285-6i%29%2A%281-i%29=-1-11i.


So the expression is now in standard form a%2Bbi where a=-1 and b=-11