Dividing polynomials (6x^2y^3-54x^4y^5) divided by 6 x^2y

Question

please help answer?

Answer 1

Given 6x^2y^3 - 54x^4y^5 / 6x^2y

6x^2y ) 6x^2y^3 - 54x^4y^5 ( y^2 + 9x^2y^4

             ( - )6x^2y^3

     -----------------------------

                -54x^4y^5

              (+)54x^4y^5

    --------------------------------

                   0

    ---------------------------------

(6x^2y^3 - 54x^4y^5)/6x^2y = y^2 + 9x^2y^4