Question

If x + y + z = 0 , then $x^{3} + y^{3} + z^{3} = ______$

Answer 1

x + y + z = 0

=> x³ + y³ + z³ = 3xyz

Answer 2

Answer:

3xyz

Step-by-step explanation:

$x^3+y^3+z^3-3xyz =(x + y + z)*(x^2+y^2+z^2xy-yz-zx)\\\\Substitute~the~value\\\\x+y+z=0, then......\\\\x^3+y^3+z^3-3xyz =(0)*(x^2+y^2+z^2xy-yz-zx)\\\\x^3+y^3+z^3-3xyz = 0\\\\x^3+y^3+z^3=+3xyz\\\\x^3+y^3+z^3=3xyz$

Hope it helps you mate..

:)