Question

if alpha and beta are the proots of x^2 p- px + q=0 , then alpha^-3 + beta ^-3/ alpha^3 + beta ^3 =​


plese

Answer 1

Answer:

Step-by-step explanation:

We need to find the product of (α  

2

−β  

2

) and (α  

3

−β  

3

)

So (α  

2

−β  

2

) * (α  

3

−β  

3

)=(α−β)  

2

* (α+β)[(α+β)  

2

−αβ], Substituting the value α+β=p and α−β=qand (α−β)  

2

=p  

2

−4q

Now, (α+β)(α−β)  

2

)[(α+β)  

2

−αβ]=p(p  

2

−q)(p  

2

−4q)