Which of the following correctly simplifies (9x2+17x+13)−(2x2+12x+11)?(1 point)

Question

Responses

9x2+17x+13−2x2−12x−11
9 x squared plus 17 x plus 13 minus 2 x squared minus 12 x minus 11

12x2+2
12 x squared plus 2

7x2+5x+2
7 x squared plus 5 x plus 2

7x2+29x+24

Answer 1

To simplify the expression \((9x^2 + 17x + 13) - (2x^2 + 12x + 11)\), we follow these steps:

1. Distribute the negative sign across the second set of parentheses: \[ 9x^2 + 17x + 13 - 2x^2 - 12x - 11 \]

2. 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 get: \[ 7x^2 + 5x + 2 \]

Therefore, the correct answer is: 7x² + 5x + 2