prove that 1=2. Explain why?
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Assume that we have two variables a and b, and that: a = b
Multiply both sides by a ,
⇒ a² = ab
Subtract b² from both sides,
⇒ a²- b² = ab - b²
Factor the left side to get (a + b)(a - b) .
Factor out b from the right side to get b(a - b).
⇒(a + b)(a - b) = b(a - b)
Since (a - b) appears on both sides, we can cancel it to get: a + b = b
Since a = b (that's the assumption we started with), we can substitute b in for a to get: b + b = b
Combining the two terms on the left gives us: 2b = b
Since b appears on both sides, we can divide through by b to get: 2 = 1
Hence proved .
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