Prove me wrong a = 1 and b = 1 .

Now this means that a = b .

multiply both sides by a we get a^{2} = ab .

then subtract b^{2} from both sides a^{2} - b^{2} = ab - b^{2} .

then factorise both sides to get (a + b)(a - b) = b(a - b) .

Dividing both sides by (a - b) would gives a + b = b .

Substituting back the values of a = 1 and b = 1 would gives 1 + 1 = 1