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If x= (beta -gamma )(alpha -delta ), y=...

If ` x= (beta -gamma )(alpha -delta ), y= (gamma - alpha)(beta -delta ), z=(alpha -beta) (gamma - delta ) ` then the value of ` x^(3) +y^(3) +z^(3) -3xyz ` is : a)0 b)` alpha ^(6) +beta ^(6) +gamma ^(6) delta ^(6)` c)` alpha ^(6) beta^(6) gamma ^(6)delta^(6)` d)1

A

0

B

` alpha ^(6) +beta ^(6) +gamma ^(6) delta ^(6)`

C

` alpha ^(6) beta^(6) gamma ^(6)delta^(6)`

D

1

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The correct Answer is:
A
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