निम्नलिखित बहुपदो का गुणनखंड निकालें :
` (x^(3))/(y^(3))+(y^(3))/(z^(3))+(z^(3))/(x^(3))-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)

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

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

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

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

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

If x + y + z = xyz , prove that (3x -x^(3))/ (1-3x^(2)) + (3y -y^(3))/(1- 3y^(2)) +(3z -z^(3))/(1- 3z^(2)) = (3x -x^(3))/(1-3x)^(2) * (3y- y^(3))/(1-3x)^(2)* (3z- z^(3))/(1-3z)^(2) .