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To simplify the expression \((9x^2 + 17x + 13) - (2x^2 + 12x + 11)\), we start by distributing the negative sign through the second 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:
\[
7x^2 + 5x + 2
\]
So, the correct answer is:
**7x² + 5x + 2**