Question 30752
(5/p^2 - 5/q^2) / (1/p + 1/q)
=5[(q^2-p^2)/(p^2q^2)]divided by [(q+p)/(pq)]  
Taking 5 out and finding the lcm in the part before the division symbol and finding the lcm in the part after the symbol
=5[(q+p)(q-p)/(p^2q^2)]divided by [(q+p)/(pq)]  
=  5[(q+p)(q-p)/(p^2q^2)]X [(pq)/(q+p)]
When division symbol is replaced by mulitplication symbol the fraction that is after the symbol is reciprocated that is the original fraction after the symbol is replaced [1/the fraction]
= 5(q-p)/pq (Cancelling (p+q) and pq)