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