Shew that \[ \begin{array}{c} \left(x^{3}+6 x^{2} y+3 x y^{2}-y^{3}\right)^{3}+\left(y^{3}+6 x y...
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Shew that
\[
\begin{array}{c}
\left(x^{3}+6 x^{2} y+3 x y^{2}-y^{3}\right)^{3}+\left(y^{3}+6 x y^{2}+3 x^{2} y-x^{3}\right)^{3} \\
=27 x y(x+y)\left(x^{2}+x y+y^{2}\right)^{3}
\end{array}
\]
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