Question

if X + Y + Z is equals to zero show that x cube + y cube + Z cube is equals to 3 x y z​

Answer 1

Step-by-step explanation:

X+Y+Z=0

X^3+Y^3+Z^3+3XYZ=(X+Y+Z)(X^2+Y^2+Z^2-XY-YZ-ZX)

as given X+Y+Z=0

So if we multiply any number with 0,the result will also be 0

X^3+Y^3+Z^3+3XYZ=0

X^3+Y^3+Z^3=3XYZ.