Question

(a-b) ^3 + (b-c) ^3 + (c-a) ^3​

Answer 1

Step-by-step explanation:

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Answer 2

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Here is your answer:

Let x = (a – b), y = (b – c) and z = (c – a)

Consider, x + y + z = (a – b) + (b – c) + (c – a) = 0

⇒ x3 + y3 + z3 = 3xyz

That is (a – b)3 + (b – c)3 + (c – a)3 = 3(a – b)(b – c)(c – a)

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