If \( a, b, c \) are in A.P., prove that : \[ a^{3}+4 b^{3}+c^{3}=3 b\left(a^{2}+c^{2}\right) \]
If \( a, b, c \) are in A.P., prove that :
\[
a^{3}+4 b^{3}+c^{3}=3 b\left(a^{2}+c^{2}\right)
\]
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