Factorize : (i)`(a-b)^3+(b-c)^3+(c-a)^3 `(ii) `x^3(y-z)^3+y^3(z-x)^3+z^3(x-y)^3`

Factorize :(x-y)^(3)+(y-z)^(3)+(z-x)^(3)

Factorize : (x-2y)^(3)+(2y-3z)^(3)+(3z-x)^(3)

Factorise : (i) (x-y)^(3)+(y-z)^(3)+(z-x)^(3) (ii) (x-2y)^(3)+(2y-4z)^(3)+(4z-x)^(3) (iv) (3sqrt(2)a-5sqrt(3)b)^(3)+(5sqrt(3)b-7sqrt(5)c)^(3)+(7sqrt(5)c-3sqrt(2)a)^(3) .

x^(3)(y-z)^(3)+y^(3)(z-x)^(3)+z^(3)+z^(3)(x-y)^(3)

Factorize: (2x-3y)^(3)+(4z-2x)^(3)+(3y-4z)^(3)

Factorize: (3x-2y)^(3)+(2y-4z)^(3)+(4z-3x)^(3)

Value of (x-y)^(3) +(y-z)^(3) +(z-x)^(3) is

(i) Factorize the experssions 8a^(6)+5a^3+1 (ii) show that (x-y)^3+(z-x)^3+(z-x)^3=3(x-y)(y-z)(z-x)

Find (x+y+z)^(3)-(x+y-z)^(3)-(y+z-x)^(3) -(z + x-y)^(3)

What is ((x-y)^3+(y-z)^3+(z-x)^3)/(3(x-y)(y-z)(z-x)) equal to?