SOLUTION: find the product of the given complex number and its conjugate 4-6i

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Question 574541: find the product of the given complex number and its conjugate
4-6i
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Given a complex number a%2Bbi and its conjugate a-bi, the product of the two is

%28a%2Bbi%29%28a-bi%29=a%5E2-abi%2Babi-bi%5E2=a%5E2-%28-1%29b%5E2=a%5E2%2Bb%5E2

or more simply

%28a%2Bbi%29%28a-bi%29=a%5E2%2Bb%5E2