 Hi and welcome to the session. I am Asha and I am going to help you solve the following problem which says verify. So to verify these two problems what we will do is solve the right hand side and show that it is equal to the left hand side. So starting with the solution this is first verify the first one which is x cube plus y cube is equal to x plus y into x square minus x y plus y square. So let us start with the right hand side. So right hand side is equal to x plus y into x square minus x y plus y square. Now first multiplying x with the second bracket which is x square minus x y plus y square then we have plus y then again at multiplying with a second bracket which is x square minus x y plus y square. Now in opening the brackets on multiplying x with x square we get x cube then we have minus sign and on multiplying x with xy we get x square y and on multiplying and on multiplying x with y square gives xy square plus on multiplying y with x square we get x square y and on multiplying y with minus xy we get minus xy square and on multiplying y with y square gives y cube. Now minus x square y cancels out with plus x square y and xy square cancels out with minus xy square and this gives us x cube plus y cube which is nothing but the left hand side which is x cube plus y cube. So this shows that the right hand side of this equation is equal to the left hand side and thus verified. So this completes the first part and now proceeding on to the second one where we wish to verify that x cube minus y cube is equal to x minus y into x square plus xy plus y square. Again we will show that the right hand side of this equation on solving comes equal to the left hand side. So starting with the right hand side which is equal to x minus y into x square plus xy plus y square. First multiplying x with the second bracket which is x square plus xy plus y square and then multiplying minus y with the second bracket which is x square plus xy plus y square. Now opening the brackets on multiplying x with x square gives x cube on multiplying x with xy gives x square y on multiplying x with y square gives xy square and now on multiplying minus y with x square gives minus x square y on multiplying minus y with plus xy gives minus xy square and on multiplying minus y with y square gives minus y cube. Now cancelling the same terms with opposite signs xy square cancels with minus x square and hence we are left with x cube minus y cube which is the left hand side. This shows that the left hand side is equal to the right hand side and hence verified. So this completes the second part and hence the solution. So hope you enjoyed this session. Take care and have a good day.