Question

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

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Answer 1

✏Answer

$\implies (a - b)(a + b) + (b - c)(b + c) + (c - a)(c + a)$

$\implies a(a + b) - b(a + b) + b(b + c) - c(b + c) + c(c + a) - a(c + a)$

$\implies {a}^{2} + ab - ab - {b}^{2} + {b}^{2} + bc - bc - {c}^{2} + {c}^{2} + ac - ac - {a}^{2}$

$\implies {a}^{2} - {a}^{2} + ab - ab - {b}^{2} + {b}^{2} + bc - bc - {c}^{2} + {c}^{2} + ac - ac$

$\implies 0 + 0 + 0 + 0 + 0 + 0$

$\implies 0$

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