Question

If p/q=6/5 then what is value of p^3-q^3/q^3​

Answer 1

Answer:

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.

Answer 2

Answer:

answer is 215

Step-by-step explanation:

if p/q is 6/5 ,so p=6 and q=5

it is given :- p^3-q^3/ q^3

so,6^3-5^3/5^3

=216-125/135

=216-1

=215

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