SOLUTION: a/b-b/a=a-b/ab why is this false?

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Question 833098: a/b-b/a=a-b/ab why is this false?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's assume it's true for all values of a and b given neither a nor b equal zero.
a%2Fb-b%2Fa=%28a-b%29%2F%28ab%29
Multiply both sides by ab,
a%5E2-b%5E2=a-b
%28a%2Bb%29%28a-b%29=a-b
a%2Bb=1
So the statement does not hold for all values of a and b.
It only holds when a%2Bb=1 which violates our initial assertion that it holds for all values of a and b, so then it is not true.