AMAZING MATH :: Can you prove 1 = 0 ???

In this post i am going to prove 1=0 . lets start .


given , Our initial condition is a=b .

now , multiply both side by a , you'll get

a^2 = ab

now subtract b^2 from both side ,

a^2 - b^2 = ab - b^2

now factorize both of these ,

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

now cancel out (a-b) from both side ,

you'll get ,

a+B = b

now substitute b=a ;

2a = a

now cancel out a from both side ,


you'll get

2 = 1

now subtract 1 from both side

you'll get 1 = 0


Isn't it amazing ??? please comment where is mistake .