Blue penguin: did you know that 2 = 1 ?
Red penguin: prove it
Blue penguin: Let A = B, multiply both sides by A
Blue penguin: A2 = AB, minus B2 on both sides
Blue penguin: A2 - B2 = AB - B2
Blue penguin: (A+B)(A-B) = B(A-B)
Blue penguin: (A+B) = B, but since A=B, A+B=2B
Blue penguin: 2B = 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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