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

To simplify the expression \((9x^2 + 17x + 13) - (2x^2 + 12x + 11)\), we can proceed as follows:

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

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

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

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