## Pseudo-proof 2 = 1

Watch closely: I will prove that $$2 = 1$$.  Your job is to show why such a logical proof could possibly be wrong.  It isn’t sufficient to point out that the answer is ridiculous.

$a = b$ $a^2 = ab$ $a^2 – b^2 = ab – b^2$ $(a-b)(a+b)= b(a-b)$ $a+b = b$ $2b = 1b$ $2=1$

definition

multiply both sides by a

subtract b2

factor

cancel like factors

since a = b

divide by b