 Hello and welcome to the session. In this session we discussed the following question which says divide 4x square y plus 10xy plus 16xyq by 2y. So in this question we have to divide the given polynomial by the given polynomial. Let's see the solution now. You are supposed to divide the polynomial 4x square y plus 10xy plus 16xyq by the monomial 2y. So for doing this we need to divide each term of this polynomial by the given monomial. So this would be equal to the first term of the polynomial that is 4x square y by the monomial 2y plus the second term of the polynomial that is 10xy by the monomial that is 2y plus the third term of the polynomial 16xyq by the monomial 2y. We already know to divide a monomial by another monomial. So now 2, 2 times is 4, this y cancels with this y and we are left with x square multiplied by 2. So this is equal to 2x square plus now here 2, 5 times is 10, this y cancels with y and we are left with 5x plus this 2, 8 times is 16 and here we have 8xy square plus 4x square y plus 10xy plus 16xyq minus the given polynomial is divided by the monomial 2y and the result obtained is equal to 2x square plus 5x plus 8xy square. So this is our final answer. This completes the session. Hope you have understood the solution of this question.