Question

Prove that X minus Y Square plus Y plus Z cube plus Z minus X cube equals to3XY into Y minus Z into Z minus X

Answer 1

Answer:

Step-by-step explanation:

Given x+y+z=0

⟹x+y=−z

Cubing on both sides

(x+y)  

3

=(−z)  

3

 

⟹x  

3

+y  

3

+3x  

2

y+3xy  

2

=−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

 

⟹x  

3

+y  

3

+z  

3

=3xyz