If a+b+c=0, then a^4+b^4+c^4/a^2b^2+b^2c^2+c^2a^2=? Can you solve this Algebra Maths Puzzle?

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Prove that If a + b + c = 0, then (a^2 + b^2 + c^2 )^2 = 2(a^4 + b^4 + c^4) Prove that If a + b + c = 0, then (a^2 + b^2 + c^2 )^2 = 2(a^4 + b^4 + c^4)
Solving A Nice Problem | If : (a^2)b=6 , (b^2)c=4 , (c^2)a=9 , (a^2)(b^2) (c^2)=? - Math Solving A Nice Problem | If : (a^2)b=6 , (b^2)c=4 , (c^2)a=9 , (a^2)(b^2) (c^2)=? - Math
a+b+c=4,a^2+b^2+c^2=10,a^3+b^3+c^3=22,a^4+b^4+c^4=? | ALGEBRAIC PROBLEMS MATHS OLYMPIAD | POLYNOMIAL a+b+c=4,a^2+b^2+c^2=10,a^3+b^3+c^3=22,a^4+b^4+c^4=? | ALGEBRAIC PROBLEMS MATHS OLYMPIAD | POLYNOMIAL
a+b+c=4 a²+b²+c²=10 a³+b³+c³=22 a⁴+b⁴+c⁴=?!! Hard Algebra Puzzle explained !Hardest Math question!! a+b+c=4 a²+b²+c²=10 a³+b³+c³=22 a⁴+b⁴+c⁴=?!! Hard Algebra Puzzle explained !Hardest Math question!!