To simplify the expression \((9x^2 + 17x + 13) - (2x^2 + 12x + 11)\), we follow these steps:
- Distribute the negative sign in front of the second parentheses:
\[ 9x^2 + 17x + 13 - 2x^2 - 12x - 11 \]
- 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, we get:
\[ 7x^2 + 5x + 2 \]
Thus, the correct simplification of the expression is:
7x^2 + 5x + 2
So the answer is:
7xexponent2 + 5x + 2.