Question

if a + b + c = 0, then what is the value of a^3 + b^3 + c^3 ?​

Answer 1

Answer:

a^3 + b^3 +c^3 = (a + b + c )( a^2 + b^2 + c^2 -ab - bc - ca) + 3abc

Given,

a + b + c = 0

a^3 + b^3 +c^3 = (a + b + c )( a^2 + b^2 + c^2 -ab - bc - ca) + 3abc

a^3 + b^3 +c^3 = 0( a^2 + b^2 + c^2 -ab - bc - ca) + 3abc

a^3 + b^3 +c^3 =3abc

Therefore, a^3 + b^3 +c^3 is 3abc

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