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

To simplify the expression \((9x^2 + 17x + 13) - (2x^2 + 12x + 11)\), we can start by distributing the negative sign across the second set of parentheses.

1. Rewrite the expression:
\[
9x^2 + 17x + 13 - 2x^2 - 12x - 11
\]

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. Combine all the simplified terms:
\[
7x^2 + 5x + 2
\]

So, the correct simplification is:

**7x² + 5x + 2**.