 Hi, and welcome to the session. Let us discuss the following question. The question says, using the properties of determinant, show that this determinant is equal to x minus y into y minus x into z minus x. Let us now begin with this illusion. We have to show that determinant of 1 x plus y x squared plus y squared 1 y plus z y squared plus z squared 1 z plus x z squared plus x squared is equal to x minus y into y minus z into z minus x. Now we will first operation. 1 goes to rho 1 minus rho 2, rho 3 goes to 3 minus rho 2. By applying this rho operation, we get this determinant as 0 y minus z squared minus z minus y x squared minus y squared. Now this is equal to determinant of z into y z squared 0 x minus y x minus y into x plus into determinant of determinant by second rho into x plus y minus z minus y into y minus z into minus 1 into x minus z plus 0 y into y minus z into x into y minus z into z minus x. So we have proved it is equal to right hand side. This is the session. Bye and take care.