Question

Find the value of (a-b)^3+(b-c)^3+(c-a)^3

Answer 1

Answer:

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

=a^3-b^3-3a^2b+3ab^2+b^3-c^3-3b^2c+3bc^2+c3-a^3-3c^2a+3ca^2

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