Question

x3+y3=(x+y)(x3-xy+y2) plz tell me this answer plz ​

Answer 1

Answer:

Step-by-step explanation:

To prove: x  

3

−y  

3

=(x−y)(x  

2

+xy+y  

2

)

Consider the right hand side (RHS) and expand it as follows:

(x−y)(x  

2

+xy+y  

2

)=x  

3

+x  

2

y+xy  

2

−yx  

2

−xy  

2

−y  

3

 

=(x  

3

−y  

3

)+(x  

2

y+xy  

2

+x  

2

y−xy  

2

)=x  

3

−y  

3

=LHS  

Hence proved.