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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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