If the zeros of the polynomial \( f(x)=a x^{3}+3 b x^{2}+3 c x+d \)...

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If the zeros of the polynomial \( f(x)=a x^{3}+3 b x^{2}+3 c x+d \) are in A.P., prove that
\[
2 b^{3}-3 a b c+a^{2} d=0 \text {. }
\]
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