If \( x^{2}+y^{2}+z^{2}=1 \) for \( x, y, z \in R \), then the P W ...

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If \( x^{2}+y^{2}+z^{2}=1 \) for \( x, y, z \in R \), then the
P
W maximum value of \( x^{3}+y^{3}+z^{3}-3 x y z \) is
(1) \( \frac{1}{2} \)
(2) 1
(3) 2
(4) 3
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