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Blue penguin: did you know that 2=1?

Red penguin: prove it

Blue penguin: Let A = B, add A to both sides

Blue penguin: A + A = A + B

Blue penguin: 2A = A + B, subtract 2B from both sides

Blue penguin: 2A - 2B = A + B - 2B

Blue penguin: 2(A - B) = A - B

Blue penguin: 2 = 1

Red penguin: nice try, but there's a mistake (The mistake is that the (A-B) term that gets canceled is zero, dividing by zero is not allowed for this reason)

Red penguin: prove it

Blue penguin: Let A = B, add A to both sides

Blue penguin: A + A = A + B

Blue penguin: 2A = A + B, subtract 2B from both sides

Blue penguin: 2A - 2B = A + B - 2B

Blue penguin: 2(A - B) = A - B

Blue penguin: 2 = 1

Red penguin: nice try, but there's a mistake (The mistake is that the (A-B) term that gets canceled is zero, dividing by zero is not allowed for this reason)

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