(a-b)(a+b)+(b-c)(b+c)+(c-a)(c+a)=0
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(a-b)(a+b) = a² - b²
(b-c)(b+c) = b² - c²
(c-a)(c+a) = c² - a²
a² - b² + b² - c ² + c ² - a²
= 0
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