Hypothesis: A=B
(note: A^2 means A to the second power, or A-squared...)

A=B (By hypothesis)
A^2 = AB (Multiply both sides by A)
A^2 - B^2 = AB - B^2 (Subtract B^2 from each side)
(A+B)(A-B) = B(A-B) (Simplify by factoring)
A+B = B (Cancel the "(A-B)" factor from each side)
B+B = B (Substitution, since A=B)
2B = 1B (Addition of like terms)
2 = 1 (Cancel the "B" factor from each side)

Hmmmm.... gives a new insight into the concept of reductio ad absurdium, doesn't it.

tanstaafl.

"There Ain't No Such Thing As A Free Lunch"