Question

If p-q = 10/9

pq= 5/3

what is the value of p3-q3

Answer 1

Answer :

We are given the values as,

pq = 5/3
&
(p - q) = 10/9

Now,
(p - q) = 10/9
Lets take cube of both sides,
=> (p - q)^3 = (10/9)^3
=> {p^3 - q^3 - 3pq(p - q)} = 1000/729
=> p^3 - q^3 - 3(5/3)(10/9) = 1000/729
=> p^3 - q^3 - 50/9 = 1000/729
=> p^3 - q^3 = (1000/729) + (50/9)
=> p^3 - q^3 = (1000+405)/729

●=> p^3 - q^3 = 1405/729


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