Copyright ©1999 by Paul Niquette. All rights reserved. 






he expression A  B has, under our initial assumption, a precise value: zero. The step that says, "Dividing both sides by A  B" means "Dividing by zero." Just about everyone knows that dividing any finite number by zero results in an quotient of infinity  a value sometimes described as "undefined" (although "increasing without bounds" may be more appropriate). Division by zero is not, in any true mathematical sense, forbidden. It is a natural consequence of formulating any ratio in which the denominator can vanish to zero.
Or worst.The two expressions we are dividing by zero are (A + B)(A  B) and B(AB). Each has a coefficient of A  B and therefore a precise value: zero.
Epilog As discovered in the solution to Fermat's Really Last Theorem, here is a more promising stratagem for mathematical monkey business...
So, that buck I owed you? Well, pay up. 



