Let \( a, b, c \) and \( p \) be the rational numbers such that \( ...

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Let \( a, b, c \) and \( p \) be the rational numbers
such that \( p \) is mot a perfect cube if
(W)
\[
\begin{array}{l}
a+b p^{1 / 3}+c p^{2 / 3}=0, \text { then prove that } \\
a=b=c .
\end{array}
\]
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