 Hi! Welcome to the session. I am Deepika here. Let's discuss the question. Check whether the following is a quadratic equation. x cubed minus 4x square minus x plus 1 is equal to x minus 2 whole cube. Let's start the solution. Our given equation is x cubed minus 4x square minus x plus 1 is equal to x minus 2 cube. Again we can write it as x cubed minus 4x square minus x plus 1 is equal to now apply the formula of a minus b whole cube that is a cube x cube minus 3a square b that is minus 6x square plus 3ab square that is plus 12x minus b cube that is minus 8. Shift the terms from the right-hand side to the left-hand side. We get x cubed minus x cubed minus 4x square plus 6x square minus x minus 12x plus 1 plus 8 is equal to 0. On solving this we get 2x square minus 13x plus 9 is equal to 0. Given equation is of the form ax square plus dx plus c is equal to 0. So our answer is yes, it is a quadratic equation. I hope the question is clear to you. Bye and have a good day.