Condition identitiy : If `a+b+c=0` then `a^3 + b^3+c^3 = 3abc`

If a+b+c= 0 find a^(3) + b^(3) + c^(3) + 3abc

If a+b+c=0 , prove that a^3+b^3+c^3=3abc

If a+ b + c = 0 , show that : a^(3) + b^(3) + c^(3)= 3abc

In the formula, a^3+b^3+c^3-3 abc = (a+b+c)(a^2+b^2+c^2-ab-bc-ca) if a + b + c = 0 , then show that a^3 + b^3 + c ^3 = 3 abc

If a+b+c=0 then prove that a^(3)+b^(3)+c^(3)=3abc

If a= 25, b= 15, c= - 10 then (a^(3) + b^(3) + c^(3) - 3abc)/((a-b)^(2) + (b-c)^(2) + (c-a)^(2))

If a + b + c = 0 , then prove that a^(3)+b^(3)+c^(3)=3abc