Question

What is the sum of the polynomials?(8x^2-9y^2-4x)+(x^2-3y^2-7x)

Answer 1

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

Answer 2

Explanation:

The given equation is as follows.

`(8x^(2)-9y^(2)-4x) + (x^(2)-3y^(2)-7x)`

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.

`(8x^(2)-9y^(2)-4x) + (x^(2)-3y^(2)-7x)`

=
`8x^(2)+x^(2)-9y^(2)-3y^(2)-4x-7x`

Adding the respective variables, we will get the following.

`8x^(2)+x^(2)-9y^(2)-3y^(2)-4x-7x`

=
`9x^(2)-12y^(2)-11x`

Thus, we can conclude that sum of
`(8x^(2)-9y^(2)-4x) + (x^(2)-3y^(2)-7x)` is
`9x^(2)-12y^(2)-11x`.