[" 8.यदि (If) "x=a+b,y=a omega+b omega^(2),z=a omega^(2)+b omega," Fसउ कौजिए के (prove "],[" that "x^(3)+y^(3)+z^(3)=3(a^(3)+b^(3))," [Roorkee "77]]

If x=a+b, y=a omega+b omega^(2), z=a omega^(2)+b omega , then x y z=

If x=a+b,y=a omega+b omega^(2),z=a omega^(2)+b omega prove that x^(3)+y^(3)+z^(3)=3(a^(3)+b^(3))

If x= a + b, y= a omega^(2) + b omega, z= a omega + b omega^(2) , then show that x^(3)+ y^(3) + z^(3)= 3(a^(3) + b^(3))

If x=a+b, y=a omega+b omega^2,z=a omega^2+bomega show that xyz =a^3+b^3

If x=a+b, y=a omega+b omega^2,z=a omega^2+bomega show that x^2+y^2+z^2=6ab

If x = a + b, y = a omega + b omega^2, z = aomega^2 + b omega , show that (i) xyz = a^3 + b^3

If x=a+b, y=a omega+b omega^2,z=a omega^2+bomega show that x^3+y^3+z^3=3(a^3+b^3)

If x= a+ b, y = a omega + b omega^(2), z= a omega^(2) + b omega , then the value of x^(3) + y^(3) + z^(3) is equal to (where omega is imaginary cube root of unity)

If x = a + b , y = a omega^(2) +b omega and z = a omega + b omega^(2) , then x^(2) + y^(2) + z^(2) is equal to