To simplify \((9x^2 + 17x + 13) - (2x^2 + 12x + 11)\), you first need to distribute the negative sign across the second polynomial:
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Rewrite the expression: \[ 9x^2 + 17x + 13 - 2x^2 - 12x - 11 \]
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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, the simplified expression is: \[ 7x^2 + 5x + 2 \]
Therefore, the correct response is: 7x² + 5x + 2.
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