Question

If a+b+c =0,then what is the value of acube+bcube+ccube =?

Answer 1

Step-by-step explanation:

a+b+c = 0

a + b = -c. ..........1

cubing on both sides gives us,

a^3 + b^3 + 3ab(a+b) = -c^3

So we know that a+b = -c

a^3 + b^3 + 3ab ( -c ) = -c^3

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

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