" Y."Sigma x(y^(3)-z^(3))=

If a^(x)a^(y)a^(z)=1 , " then " x^(3)+y^(3)+z^(3)=?

If x:y:z=3:3:5 and x^(3)+y^(3)+z^(3)=1728 , then find (x-y+z)

Prove the following : |{:(x,y,z),(x^(2),y^(2),z^(2)),(x^(3),y^(3),z^(3)):}|=|{:(x,x^(2),x^(3)),(y,y^(2),y^(3)),(z,z^(2),z^(3)):}|=xyz(x-y)(y-z)(z-x)

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

What is ((x-y)^(3) + (y-z)^(3) + (z-x)^(3))/(4(x-y)(y-z)(z-x)) equal to ?

If x+y+z=0, then find (x+y)^(3)+(y+z)^(3)+(z+x)^(3)

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

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