Question

if x+y+z=0,then x3+y3+z3=
​

Answer 1

Answer:

Step-by-step explanation:

x+y+z=0⇒x+y=−z

Cubing on both sides,

(x+y)  

3

=(−z)  

3

 

⇒x  

3

+y  

3

+3xy(x+y)=z  

3

 

⇒x  

3

+y  

3

+3xy(−z)=−z  

3

 

⇒x  

3

+y  

3

−3xyz+z  

3

=0

∴x  

3

+y  

3

+z  

3

=3xyz