Simon Montagu wrote:

> Prove that (a + b) (a - b) = a^2 - b^2
> a * a = a^2
> + * - = -
> b * b = b^2

Given: x not equal to 0, y not equal to 0, Prove: x + y = 0.

Since x does not equal 0, then x + 1 does not equal 1, x + a does not 
equal a, x + y does not equal y.
But what is y? y is anything but 0.
Thus x + y is not equal to anything but 0.
Since x + y cannot equal anything but 0, x + y = 0.

Q.E.D.


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