This is a classical mathematical fallacies. At hindsight, everything looks perfectly fine.

"2=1" Mathematical Fallacy
“2=1” Mathematical Fallacy

So did you manage to spot the error? It is at line 5, where we divide both sides of the equation by a-b. Now this is mathematical alright, but in this case, it is not! notice that a-b=0 on the account that we started with a=b. And we need to be reminded that we cannot divide anything by zero.

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