## Is 2 = 1 ?

An impossible equation. or not?

If a = 1 and b = 1 then a = b .

Multiplying both sides of the equation for b , we have :

ab = b2

Subtracting both sides of the equality a2 are:

ab - a2 = b2 - a2

factoring :

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

And simplifying the term ( b - a) :

a = a + b

Since a = b , then the expression is equivalent to :

a = a + a

Thus:

a = the 2nd

So:

1 = 2