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I just wanted to know if someone could explain to me why the following is true:

(x+y)^2 =/= x^2 + y^2

So, in words, why doesn't the some of two numbers added together and then squared equal the sum of the numbers squared individually and then added together?

I obviously know how to show they are not equal by simply explanding the left side, but I'm looking for a really fundamental answer (i.e. is there some axiom which accounts for this?).

Thanks

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# Please explain to me why this simple problem is so

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