If \( a+b+c=0 \), prove the identities in questions \( 11-17 \). \[ 2\left(a^{4}+b^{4}+c^{4}\rig...
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If \( a+b+c=0 \), prove the identities in questions \( 11-17 \).
\[
2\left(a^{4}+b^{4}+c^{4}\right)=\left(a^{2}+b^{2}+c^{2}\right)^{2}
\]
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