The value of [(a^2-b^2)^3+(b^2-c^2)^3 + ...

The value of `[(a^2-b^2)^3+(b^2-c^2)^3 + (c^2-a^2)^3] div [(a-b)^3+(b-c)^3+(c-a)^3 ]` is equal to: (Given `a ne b ne c`)

A

`(a+b)(b+c)(c+a)`

B

`(a^(2)+b^(2))(b^(2) + c^(2))(c^(2) +a^(2))`

C

`(a-b^(2)) (b^(2) - c^(2))(c^(2) - a^(2))`

D

`(a-b)(b-c)(c-a)`

Verified by Experts

The correct Answer is:

A

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