You can also write why the fallacy proof is a fallacy proof. ]]>

\(a^2 = ab\)

\(a^2 - b^2 = ab-b^2\)

\((a-b)(a+b) = b(a-b)\)

\(a+b = b\)

\(b+b = b\)

\(2b = b\)

\(2 = 1\)

The whole fallacy proof went wrong (or became right, depending on which angle you look at it) when you divide by \(a-b\), which is \(0\)!

]]>