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Re:A visual proof that a^2 – b^2 = (a + b)(a – b) by chisquared on Sunday December 15, 2024 @03:15PM (#42425665)
> Then you've just skipped the case when a^2 - b^2 is negative.

Not really. If b > a, then swap them to conclude that b^2 - a^2 = (b + a)(b - a), which is what the visual proof demonstrates.

Your conclusion is equivalent to saying that a^2 - b^2 = (a + b)(a - b).

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