If you can answer this then you are a genius !
Let x=y
Therefore x^2=xy ( multiplying x on both sides)
therefore x^2-y^2=xy-y^2 ( subbtracting y^2 on both sides )
therefore (x+y)(x-y)=y(x-y)
therefore x+y=y ( dividing x-y on both sides)
therefore 2y=y ( as x=y therefore x+y = 2y)
therefore 2=1 ( dividing y on both sides)
Now tell what's wrong in the above equation solving ?
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Step-by-step explanation:
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Step-by-step explanation:
I would start with the right side, (x -y)(x + y) and use the distributive property to get (x -y)(x + y) = (x - y)(x) + (x - y)(y). Then use the commutative property of multiplication to rewrite (x - y)(y) as y(x - y), and the same for the other product. And so on... Eventually you'll get to x^2 - y^2 and will have justified each step along the way by one of the basic properties of real numbers
Source https://www.physicsforums.com/threads/spivakprove-x-2-y-2-x-y-x-y.356039/
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