Question

(a+b)(a-b)+(b+c)(b-c)+(c+a)(c-a)

Answer 1

$= {a}^{2} - {b}^{2} + {b}^{2} - {c}^{2} + {c}^{2} - {a}^{2} \\ = 0$
it may help you
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Answer 2

(a+b) * (a-b) = a² - b²

your answer will be

(a²-b²) + (b²-c²) + (c²-a²)

= a²-b²+b²-c²+c²-a²

= 0

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