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To simplify the expression \((9x^2 + 17x + 13) - (2x^2 + 12x + 11)\), we first distribute the negative sign through the second set of parentheses:
\[
= 9x^2 + 17x + 13 - 2x^2 - 12x - 11
\]
Next, we combine like terms:
1. For the \(x^2\) terms: \(9x^2 - 2x^2 = 7x^2\)
2. For the \(x\) terms: \(17x - 12x = 5x\)
3. For the constant terms: \(13 - 11 = 2\)
Putting it all together, we get:
\[
7x^2 + 5x + 2
\]
Thus, the correct simplification is:
**7x² + 5x + 2**.