Question

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

Answer 1

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

First, get rid of the parentheses and combine like terms

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

9x^2-12y^2-11x is your answer

Answer 2

Answer:  The correct option is (D) $9x^2-12y^2-11x.$

Step-by-step explanation:  We are given to find the following sum of the polynomials :

$S=(8x^2-9y^2-4x)+(x^2-3y^2-7x)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the required sum, we need to add the coefficients of the same unknown variables with equal powers.

The sum of the polynomials in (i) is as follows :

$S\\\\=(8x^2-9y^2-4x)+(x^2-3y^2-7x)\\\\=8x^2-9y^2-4x+x^2-3y^2-7x\\\\=(8+1)x^2-(9+3)y^2-(4+7)x\\\\=9x^2-12y^2-11x.$

Thus, the required sum of the polynomials is $9x^2-12y^2-11x.$

Option (D) is CORRECT.