SOLUTION: Evaluate: (a-b)/ab + (b-c)/bc + (c-a)/ca

Question 237247: Evaluate: (a-b)/ab + (b-c)/bc + (c-a)/ca
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
First find the LCD for the problem, which is

In the first fraction, you have a denominator of (ab), so you need to multiply by c/c. In the second fraction, you must multiply by a/a, and the third fraction multiply by b/b:

Now, multiply the numerators out, and place over the LCD, which is :

The entire numerator subtracts out, which leaves a numerator of 0.

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VERY NICE PROBLEM!!!

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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