Let a = b = 1. Consider a + b = c (a + b) = c(a

Let a = b = 1. Consider

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a + b = c (a + b) = c(a + b) a+ 2ab + b = ac + bc a + 2ab ac = bc-b a + ab- ac = ab b + bc -b(a + bc) a(a + bc) = a = -b - Given Multiply both sides by (a + b). Expand by multiplication. Subtract ac and b from both sides. Subtract ab from both sides. Common factor. Divide both sides by a + b - c. -1. But since a = b = 1, we see a = What is wrong here?