SOLUTION: Given: Neither a nor b equal zero. Evaluate: (a+bi)[(a/a^2+b^2)-(b/a^2+b^2)i]

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: Given: Neither a nor b equal zero. Evaluate: (a+bi)[(a/a^2+b^2)-(b/a^2+b^2)i]      Log On


   

Question 207869: Given: Neither a nor b equal zero.
Evaluate:
(a+bi)[(a/a^2+b^2)-(b/a^2+b^2)i]
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given: Neither a nor b equal zero.
Evaluate:
(a+bi)[(a/a^2+b^2)-(b/a^2+b^2)i]
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Since a^2+b^2 = (a+bi)(a-bi) you get the following:
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= a/(a-bi) - b/(a-bi)
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= (a-b)/(a-bi)
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Cheers,
Stan H.