Maths gone crazy

Ever wondered why you always end up with one odd sock after you wash them? well, maybe science and mathematics have the answer (and by answer I mean proof that the world is a very complicated and confusing place).

First off we let a = b.
a   =   b

Next We multiply both sides by a
a2   =   ab

Next We can add a² to both sides
2a2   =   a2 + ab

Next We can subtract 2ab from both sides
2a2 - 2ab   =   a2 - ab

We can simplify this with factorisation
2 (a2 - ab)   =   a2 - ab

Dividing both sides by (a² - ab)
2   =   1

Looks like the rubber band broke, but maths doesn't lie people!!!