Find the error in the following proof that 2 = 1. Consider

Chapter , Problem 0.10

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Find the error in the following proof that 2 = 1. Consider the equation a = b. Multiply both sides by a to obtain a2 = ab. Subtract b2 from both sides to get a2 b2 = abb2. Now factor each side, (a+b)(ab) = b(ab), and divide each side by (ab) to get a+b = b. Finally, let a and b equal 1, which shows that 2 = 1.

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