If a+b+c=0, prove that a⁴+b⁴+c⁴ = 2(a²b²+b²c²+c²a²) = ½(a²+b²+c²)² || Class IX

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If a+b+c=0, then prove that 2(a⁴+b⁴+c⁴)=(a²+b²+c²)² If a+b+c=0, then prove that 2(a⁴+b⁴+c⁴)=(a²+b²+c²)²
If a+b+c=0 then pvt a⁴+b⁴+c⁴/(a²b²+b²c²+c²a²) =2 If a+b+c=0 then pvt a⁴+b⁴+c⁴/(a²b²+b²c²+c²a²) =2
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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)
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If `a+b+c=0` prove that `(a^4+b^4+c^4)/(a^2b^2+b^2c^2+c^2a^2)=2` If `a+b+c=0` prove that `(a^4+b^4+c^4)/(a^2b^2+b^2c^2+c^2a^2)=2`