Absurdity?

Given:
a = b

Multiply with a on both sides:
a^2 = ab
a^2 + (a^2 - 2ab) = ab + (a^2 - 2ab)
2a^2 - 2ab = a^2 - ab
2(a^2 - ab) = 1(a^2 - ab)
2 = 1

How is this possible? Anything wrong somewhere?

Since a=b, a^2=ab, so a^2-ab=0. Thus in the final step you divided by 0.

I'm impressed of your quick problem-solving. 🙂

I really like that problem. Still, I was hoping that at least _one_ person would answer wrong... *sob*

😛

Thanks. No problem then. WHen you post a problem, I'll give it at least half an hour before I post 😛.

Hehehe. Don't worry about it. From now on, I'm only posting new problems when you are asleep. 🙂

However, if you've got a problem, please feel free to make a new thread ... 😛

*sits down, waiting for a new problem to pop up*