Shew that \[ \begin{array}{l} \sum\left(a^{2}+2 b c\right)^{3}-3\left(a^{2}+2 b c\right)\left(b^...
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0Shew that
\[
\begin{array}{l}
\sum\left(a^{2}+2 b c\right)^{3}-3\left(a^{2}+2 b c\right)\left(b^{2}+2 c a\right)\left(c^{2}+2 a b\right) \\
=\left(a^{3}+b^{3}+c^{3}-3 a b c\right)^{2} .
\end{array}
\]
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