Which of the following correctly simplifies (9x2+17x+13)−(2x2+12x+11) ?(1 point) Responses 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 12 x squared plus 2 7x2+29x+24 7 x squared plus 29 x plus 24 7x2+5x+2

To simplify the expression \((9x^2 + 17x + 13) - (2x^2 + 12x + 11)\), we first distribute the negative sign through the second set of parentheses:

\[
= 9x^2 + 17x + 13 - 2x^2 - 12x - 11
\]

Next, we combine like terms:

1. For the \(x^2\) terms: \(9x^2 - 2x^2 = 7x^2\)
2. For the \(x\) terms: \(17x - 12x = 5x\)
3. For the constant terms: \(13 - 11 = 2\)

Putting it all together, we get:

\[
7x^2 + 5x + 2
\]

Thus, the correct simplification is:

**7x² + 5x + 2**.