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

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

1. Distribute the negative sign across the second expression:
\[
9x^2 + 17x + 13 - 2x^2 - 12x - 11
\]

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: \(13 - 11 = 2\)

Putting it all together, we get:
\[
7x^2 + 5x + 2
\]

So, the correct simplified expression is:
\[
\boxed{7x^2 + 5x + 2}
\]