Question

If x+y+z=0 find th value of x^3+y^3+z^3

Answer 1

Answer:

If x + y + z = 0

then the value of x^3 +y^3 + z^3 is 3xyz.

Explanation:

x^3 + y^3 + z^3 – 3xyz = (x + y + z) (x2 + y2 + z2 – xy – yz – zx)

Putting x + y + z = 0

x^3 + y^3 + z^3 – 3xyz = (0) (x2 + y2 + z2 – xy – yz – zx)

x^3 + y^3 + z^3 – 3xyz = 0

∴, x^3 + y^3 + z^3 = 3xyz

Hope it helps!