If a+b+c=0 then prove that a^7+b^7+c^7=7abc(ab+bc+ca)^2
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( a^5 +b^5 +c^5 )^2_ 2a^5b^5c^5 + cc^7
2( a^7 + b^7 + c^7 ) ^2 = 4a^5b^5c^5 + 4a^5b^5 c^5
= 8( a^4 + b^4 +c^4 )
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