Which of the following correctly simplifies (9x2+17x+13)−(2x2+12x+11) ?(1 point) Responses 12x2+2 12 x squared plus 2 7x2+29x+24 7 x squared plus 29 x plus 24 7x2+5x+2 7 x squared plus 5 x plus 2 9x2+17x+13−2x2−12x−11

Answer 1

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

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

2. Combine the like terms:

   • For \(x^2\) terms: \(9x^2 - 2x^2 = 7x^2\)
   • For \(x\) terms: \(17x - 12x = 5x\)
   • For the constant terms: \(13 - 11 = 2\)

So, the expression simplifies to: \[ 7x^2 + 5x + 2 \]

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