Question

Write the value of a^3+b^3+c^3, if a+b+c=0.

Answer 1

Answer:

given,

= a+b+c=0 -(1)

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

put equation 1 in 2

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

=a^3+b^3+c^3-3abc=0

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