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

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

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

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

Factorise: (5x - y) ^(3) + (y - 4z) ^(3) + (4z - 5x) ^(3)

If x + y + z = 0 , then ( x + y - z)^(3) + ( y + z - x)^(3) + (z + x - y) ^(3) = k (xyz) , where k is equal to :

If x + y + z = 0 , then what is (y+z-x)^(3) + (z+x-y)^(3) + (x+y-z)^(3) equal to ?

Show that |{:(1,x, x ^(3)),(1,y,y ^(3)),(1,z,z^(3)):}| = (x-y) (y-z) (z-x) (x + y + z)

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