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If (x + y) ^((1)/(3)) + (y + x) ^((1)/(3...

If `(x + y) ^((1)/(3)) + (y + x) ^((1)/(3)) =- ( z + x ) ^((1)/(3)) , ` then ` (x ^(3) + y ^(3) + z ^(3))` can be expressed as :

A

3 xyz

B

`(1)/(8) xyz`

C

`(3)/(8) (x + y) (y + z) (z + x)`

D

`(x + y) (y +z) (z + x)`

Text Solution

Verified by Experts

The correct Answer is:
C
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