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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**.