 Hello and welcome to the session. In this session we discussed the following question which says, simplify x square plus 5x minus 6 upon x square minus x. Let's proceed with the solution now. We are given the algebraic fraction x square plus 5x minus 6 upon x square minus x and we need to simplify this algebraic fraction. For this first of all we will factorize the numerator and the denominator. So we can say this is equal to first of all we will factorize the numerator x square plus 6x minus x minus 6 upon x square minus x x could be written as x into x minus 1 that is x is the common factor of the two terms of the denominator. Now in the numerator we can write x into x plus 6 minus 1 into x plus 6 and this whole upon x into x minus 1. So further we get the factors of the numerator as x plus 6 into x minus 1 upon x into x minus 1. Now as you can see in the numerator and the denominator the common factor is x minus 1. But we know that an algebraic fraction is in the simplest form when the polynomials in the numerator and in the denominator do not have a common factor. So we will cancel out this common factor from the numerator and the denominator and we are left with x plus 6 upon x. Therefore the given algebraic fraction x square plus 5x minus 6 upon x square minus x is simplified as x plus 6 upon x. So this is our final answer. This completes the session. Hope you have understood the solution of this question.