Question

if x+y+z=0 then show that x^3 = y^3 = z^3 =3xyz

Answer 1

Answer:

Step-by-step explanation:

Given, x3 + y3 + z3 = 3xyz

Therefore, x3 + y3 + z3 - 3xyz =0

This means,

x3 + y3 + z3 - 3xyz = (x + y + z) (x2 + y2 + z2 - xy - yz - zx)

Now if x + y + z = 0, then......

x3 + y3 + z3 - 3xyz = ( 0 ) (x2 + y2 + z2 - xy - yz - zx)  . . . . . . .... ..... ... .. . . .. . .....    [ subsituting the value of x + y + z ]

x3 + y3 + z3 - 3xyz = 0    

x3 + y3 + z3 = 3xyz .  

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Answer 2

Answer:

In this way you can prove it

Step-by-step explanation:

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