`x^(3) + y^(3) + z^(3) - 3xyz` का मान ज्ञात कीजिए, यदि x + y + z = 14 व `x^(2) + y^(2) + z^(2) = 60`

Verify that x ^(3) + y ^(3) + z ^(3) - 3xyz =1/2 (x + y + z) [(x-y)^(2) + (y-z) ^(2) + (z-x) ^(2) ]

Verify that x ^(3) + y ^(3) + z ^(3) - 3xyz =1/2 (x + y + z) [(x-y)^(2) + (y-z) ^(2) + (z-x) ^(2) ]

Verify that x ^(3) + y ^(3) + z ^(3) - 3xyz =1/2 (x + y + z) [(x-y)^(2) + (y-z) ^(2) + (z-x) ^(2) ]

Verify that x ^(3) + y ^(3) + z ^(3) - 3xyz =1/2 (x + y + z) [(x-y)^(2) + (y-z) ^(2) + (z-x) ^(2) ]

Verify that x ^(3) + y ^(3) + z ^(3) - 3xyz =1/2 (x + y + z) [(x-y)^(2) + (y-z) ^(2) + (z-x) ^(2) ]

If x^(3) + y^(3) + z^(3) = 3xyz and x + y + z = 0 , find the value of : ((x+y)^(2))/(xy) + ((y+z)^(2))/(yz) + ((z+x)^(2))/(zx)

If x+y+z = 19, x^2 + y^2 + z^2 =133 , then the value of x^3 + y^3 + z^3 - 3xyz is: यदि x+y+z = 19, x^2 + y^2 + z^2 =133 है, तो x^3 + y^3 + z^3 - 3xyz का मान हैः

x+y+z=0 Show that x^(3)+y^(2)+z^(3)=3xyz

If v(x,y,z) = x^(3) + y^(3) + z^(3) + 3xyz , show that (del^(2)v)/(del y del z) = (del^(2)v)/(del z del y)