Respuesta :

9x^2-11y^2-11x
that is the sum of the polynomials 

Step-by-step explanation:

The given equation is as follows.

  [tex](8x^{2}-9y^{2}-4x) + (x^{2}-3y^{2}-7x)[/tex]

Both the equations can be added with coefficients of same variables. Coefficients with different variables cannot be added together.

Therefore, place the same variables together as follows.

    [tex](8x^{2}-9y^{2}-4x) + (x^{2}-3y^{2}-7x)[/tex]

 =  [tex]8x^{2}+x^{2}-9y^{2}-3y^{2}-4x-7x[/tex]

Adding the respective variables, we will get the following.

    [tex]8x^{2}+x^{2}-9y^{2}-3y^{2}-4x-7x[/tex]

  = [tex]9x^{2}-12y^{2}-11x[/tex]

Thus, we can conclude that sum of [tex](8x^{2}-9y^{2}-4x) + (x^{2}-3y^{2}-7x)[/tex] is [tex]9x^{2}-12y^{2}-11x[/tex].