Question

(a-b)^3+(b-c)^3+(c-a)^3 is equal to ?
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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

(a-b)3 + (b-c)3 + (c-a)3 = a3 - b3 - 3ab(a-b) + b3 - c3 - 3bc(b-c) + c3 - a3 - 3ca(c-a)

= - 3a2b + 3ab2 - 3b2c + 3bc2 - 3ac2 + 3 a2c = 3 (- a2b + ab2 - b2c + bc2 - ac2 + a2c)

= 3 [(a2(c-b) + (b2(a-c) + (c2(b-a)]

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