Question

Pq - 3 = p
Solve this question please

Answer 1

Answer:

Step-by-step explanation:

Using the identity is (a+b)  

3

=a  

3

+b  

3

+3ab(a+b)

Consider,

(p+q)  

3

=p  

3

+q  

3

+3pq(p+q)

 

It is given that p+q=5 and pq=6, therefore,

(p+q)  

3

=p  

3

+q  

3

+3pq(p+q)

⇒(5)  

3

=p  

3

+q  

3

+(3×6)(5)

⇒125=p  

3

+q  

3

+(18×5)

⇒125=p  

3

+q  

3

+90

⇒p  

3

+q  

3

=125−90

⇒p  

3

+q  

3

=35

Hence, p  

3

+q  

3

=35.