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Champions of Equestria

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No Fluttershy, bad mathemagician! xD lol

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Yet One More Idiot
Artist -

World's biggest idiot xD
@Krickis  
Yes, hence the “mathematical fallacy” tag. :) This was given to my class on our first day at uni to show exactly the sort of thing that can go wrong with mathematical proofs. There were also some more complex ones that involved taking different roots of unity on both sides and messing around with antiderivatives, but I can’t remember them clearly enough.
 
Anyway the upshot is Fluttershy is once again giving terrible advice. :P
Krickis
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In the fifth line it simplifies by removing the (a-b) on both sides but since we know that a=b then a-b can only equal 0. Ergo that equation was (a+b)0=b0 which is true, but you can’t simplify that by removing the zeros because you can’t divide by zero. So yeah if you want to ignore a rule of math then surprise you get weird math =p
Kincyr
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the fallacy is compounded. check the second and third lines more carefully.  
simplifying the third line results in declaring “a = 0” meaning that even if you don’t use zero as a value, you still divide by zero at the end