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1+1=1 can not be true

The following algebraic way has proven false:

Let a=b

a2=ab

a2-b2=ab-b2

(a+b)(a-b)=b(a-b)

Now two same brackets on each side cancel each other out!

(a+b)(a-b)=b(a-b)

The error is here when we cancel on each side. (a-b) is essentially zero and so dividing both sides by (a-b), basically zero, is in correct and does not make a+b=b

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12y ago

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