Question

if X + Y + Z is equal to zero then x cube + y cube + Z cube is equal to X Y Z Square true or false​

Answer 1

Answer:

it is false. correct answer is 3xyz

Answer 2

Given,

X+Y+Z=0

or, X+Y= - Z

on cubing both sides,

(X+Y)^3= -Z^3

or,( X^3)+(Y^3)+3XY(X+Y)= (-z^3)

or,X cube+Y cube +3XY(-Z)= - Z cube

or,X cube+Y cube+3XYZ= -Z cube

Therefore,X cube +Y cube+Z cube= 3XYZ