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

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

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

2. Combine like terms:
- For \( x^2 \) terms:
\[
9x^2 - 2x^2 = 7x^2
\]
- For \( x \) terms:
\[
17x - 12x = 5x
\]
- For constant terms:
\[
13 - 11 = 2
\]

3. Put it all together:
\[
7x^2 + 5x + 2
\]

So, the correct simplification is:
**7x² + 5x + 2**.