The question was What is wrong with this proof ? a=b multiply both the sides by a --1 a2 = ab add -b2 to both the side --2 a2-b2 =ab-b2 factorizing --3 (a+b)(a-b) = b(a-b) divide both the sides by (a-b) ---4 a+b=b Substituting a with b, ---5 2b = b Dividing both the sides by b ---6 2 = 1 The problem is with step 4. When a is equal to b, a-b is zero. You can not divide numbers by zero because division is only defined for non-zero numbers.
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