To simplify the expression \((9x^2 + 17x + 13) - (2x^2 + 12x + 11)\), we first distribute the negative sign across the second parentheses:
\[ 9x^2 + 17x + 13 - 2x^2 - 12x - 11 \]
Next, we combine like terms:
-
Combine the \(x^2\) terms: \[ 9x^2 - 2x^2 = 7x^2 \]
-
Combine the \(x\) terms: \[ 17x - 12x = 5x \]
-
Combine the constant terms: \[ 13 - 11 = 2 \]
Putting it all together, we have:
\[ 7x^2 + 5x + 2 \]
Thus, the correct simplification is:
7x² + 5x + 2