If X3+y3+z3=3xyz then

Open in App

Solution

Dear Student,
x³+y³+z³=3xyz when x + y + z = 0
suppose you want to find (-12)³ + (7)³ + (5)3 and we know that -12 + 7 + 5 = -12 + 12 = 0
It would be equal to 3 x (-12) x (7) x (5) = -1260
Regards

Suggest Corrections

Similar questions

x^{3} + y^{3} + z^{3} = 3 x y z .

If $x^{3} + y^{3} + z^{3} = 3 x y z$ then the relation between $x, y$ and $z$ is :

x + y + z = 0

x^{3} + y^{3} + z^{3} = 3 x y z

The expansion of $x^{3}$ + $y^{3}$ + $z^{3}$ -3xyz is

Join BYJU'S Learning Program