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There are many fallacy proofs in maths so you can share some for fun! You can also write why the fallacy proof is a fallacy proof.
a=ba = ba=b a2=aba^2 = aba2=ab a2−b2=ab−b2a^2 - b^2 = ab-b^2a2−b2=ab−b2 (a−b)(a+b)=b(a−b)(a-b)(a+b) = b(a-b)(a−b)(a+b)=b(a−b) a+b=ba+b = ba+b=b b+b=bb+b = bb+b=b 2b=b2b = b2b=b 2=12 = 12=1
The whole fallacy proof went wrong (or became right, depending on which angle you look at it) when you divide by a−ba-ba−b, which is 000!
0=(1−1)+(1−1)+(1−1)+(1−1)⋯0=(1-1)+(1-1)+(1-1)+(1-1)\cdots0=(1−1)+(1−1)+(1−1)+(1−1)⋯ 0=1−1+1−1+1−1+1−1+⋯0=1-1+1-1+1-1+1-1+\cdots0=1−1+1−1+1−1+1−1+⋯ 0=1+(−1+1)+(−1+1)+(−1+1)+⋯0=1+(-1+1)+(-1+1)+(-1+1)+\cdots0=1+(−1+1)+(−1+1)+(−1+1)+⋯ 0=1+0+0+0+⋯0=1+0+0+0+\cdots0=1+0+0+0+⋯ 0=10=10=1