Question

What is the sum of the polynomials?(8x²-9x²-4x)+(x²-3y²-7x)

A. 7x²-6y²+3x
B. 9x²-6y²+3x
C. 9x²-12y²+3x
D. 9x²-12y²-11x

Answer 1

U can begin by simplifying the terms within each set of parentheses first and then combining like terms.

(8x² - 9x² - 4x) + (x² - 3y² - 7x)

= (-x² - 4x) + (x² - 3y² - 7x)

= -x² + x² - 4x - 7x - 3y²

= -11x - 3y²

Therefore, the sum of the polynomials is -11x - 3y², which is option D.

Answer 2

`\sf D. 9x^2-12y^2-11x`

Explanation:

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

Distribute the negative sign in the first set of parentheses:

`\sf 8x^2 - 9y^2 - 4x + x^2- 3y^2 - 7x`

Combine the terms that are alike:

`\sf 8x^2 +x^2-9y^2-3y^2-4x -7x`

`\sf 9x^2-12y^2-11x`

Therefore, the sum of the polynomials is:

`\sf D. 9x^2-12y^2-11x`