Which of the following correctly simplifies (9x2+17x+13)−(2x2+12x+11)

Question

?(1 point)
Responses

7x2+29x+24
7 x squared plus 29 x plus 24

7x2+5x+2
7 x squared plus 5 x plus 2

9x2+17x+13−2x2−12x−11
9 x squared plus 17 x plus 13 minus 2 x squared minus 12 x minus 11

12x2+2

Answer 1

To simplify $(9x^2+17x+13)-(2x^2+12x+11)$, follow these steps:

1. Distribute the negative sign across the second set of parentheses: $$9x^2+17x+13-2x^2-12x-11$$

2. Combine like terms:

   • Combine the $x^2$ terms: $9x^2-2x^2=7x^2$
   • Combine the $x$ terms: $17x-12x=5x$
   • Combine the constant terms: $13-11=2$

So, putting it all together you get: $$7x^2+5x+2$$

Thus, the correctly simplified form is: 7x² + 5x + 2.