 Hi and welcome to the session. Today we will discuss the following question. The question says, factorize the expression and divide as directed. 5pq into p square minus q square divided by 2p into p plus q. Let's see its solution. We have to divide the expression 5pq into p square minus q square divided by 2p into p plus q. So this will be equal to 5pq into p square minus q square upon 2p into p plus q. Now recall the identity a plus b into a minus b is equal to a square minus b square. Now here in the given expression p square minus q square is same as a square minus b square. So using this identity we can write this expression as 5pq into p plus q into p minus q upon 2p into p plus q. Now this can be written as 5 into p into q into p plus q into p minus q upon 2 into p into p plus q. Now we will cancel out the common factors from the numerator and denominator. So in this we have p common and the factor p plus q is common. So here we are left with 5 into q into p minus q upon 2. That is 5 upon 2 into q into p minus q. And thus 5 upon 2 into q into p minus q is the required answer to this question. With this we finish this session. Hope you have understood the question. Goodbye and keep smiling.