2=1 is false, prove that it's false!

Algebra Level 1

Let a=1 and b=1 Hence, a=b Multiplying both sides with a, we get:- a^2 = ab subtracting b^2 from both sides, we get:- a^2 - b^2 = ab-b^2 and.... (a + b)(a - b) = b(a -b) So, (a -b) gets cancelled on both sides, and we are left with a + b = b Re-substituting, we get, 1 + 1 = 1 2=1 We all know that it's not true! So post the mistake in this solving..........or you must believe that it's true! THIS PROBLEM IS JUST FREE POINTS FOR YOU!!!! CHOOSE THE ANSWER AS :- I KNOW IT!!! and get it correct ; but please explain how this is wrong!

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