If \( a, b \), care the roots of \( x^{3}+a x+r=0 \), find the value of \[ \begin{array}{l} (b-c...
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0If \( a, b \), care the roots of \( x^{3}+a x+r=0 \), find the value of
\[
\begin{array}{l}
(b-c)^{2}+(c-a)^{2}+(a-b)^{2} . \\
(b+c)^{-1}+(c+a)^{-1}+(a+b)^{-1} .
\end{array}
\]
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