Do You Believe 2 = 1?

Thm: 2 = 1

Proof:
Let a = b (a & b are intergers).
Then, a^2 = ab (multiplying a to both sides).
Then, a^2 + a^2 - 2ab = ab + a^2 - 2ab (adding a^2 - 2ab to both sides).
Then, 2 (a^2 - ab) = a^2 - ab (grouping terms).
Then, 2 = 1 by dividing (a^2 - ab) to both sides.
Thus, 2 = 1. MTFBWY