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

Show that (a-b)^3+(b-c)^3+(c-a)^3=3(a-b)(b-c)(c-a)

Prove that (a-b)^3+(b-c)^3+(c-a)^3=3(a-b)(b-c)(c-a)

Prove that (a-b)^3+(b-c)^3+(c-a)^3=3(a-b)(b-c)(c-a)

The expression (a-b)^3+\ (b-c)^3+\ (c-a)^3 can be factorized as (a) (a-b)(b-c)(c-a) (b) 3(a-b)(b-c)(c-a) (c) -3\ (a-b)(b-c)(c-a) (d) (a+b+c)(a^2+b^2+c^2-a b-b c-c a)

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

Evaluate : |[0, (a-b)^3, (b-c)^3], [(b-a)^3, 0, (c-a)^3],[(c- b)^3, (a-c)^3, 0]|

The value of [{(a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3}/{(a-b)^3+(b-c)^3+(c-a)^3}] = (1) 3(a+b)(b+c)(c+a) (2) 3(a-b)(b-c)(c-a) (3) (a+b)(b+c)(c+a) (4) 1

Prove that 8a^3-(a+b)^3-(a-c)^3-(c-b)^3=3(a-b)(a+c)(2a+b-c)

What is the value of the expression ? ((a-b)^(3)+(b-c)^(3)+(c-a)^(3))/(3(a-b)(b-c)(c-a))=?