If \( x=b+c-a, y=c+a-b, z=a+b-c \), shew that \[ x^{3}+y^{3}+z^{3}-3 x y z=4\left(a^{3}+b^{3}+c^...

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If \( x=b+c-a, y=c+a-b, z=a+b-c \), shew that
\[
x^{3}+y^{3}+z^{3}-3 x y z=4\left(a^{3}+b^{3}+c^{3}-3 a b c\right) \text {. }
\]
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