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Re:A visual proof that a^2 – b^2 = (a + b)(a – b) by lizzas on Sunday December 15, 2024 @02:16PM (#42425319)
I am not convinced since in this world you can have the following rects:

1 x 1

1 x -1

-1 x -1

Is just the middle one a cut out?

I reckon you need the axiom from the field to do generalize this to negative numbers.

https://en.m.wikipedia.org/wiki/Field_(mathematics)

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