Question

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

Answer 1

$\small \rm(a + b)(a - b) + (b + c)(b -c)+(c + a)(c-a) \\ \\ \rm{ {a}^{2} - {b}^{2} + {b}^{2} - {c}^{2} + {c}^{2} - {a}^{2} } = \red0$

Answer 2

Step-by-step explanation:

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

=> a²-b² + b²-c² + c²-a²

=> 0

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