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

Question

?(1 point)
Responses

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
9 x squared plus 17 x plus 13 minus 2 x squared minus 12 x minus 11

12x2+2

Answer 1

To simplify \((9x^2 + 17x + 13) - (2x^2 + 12x + 11)\), 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: \(13 - 11 = 2\)

So, putting it all together you get: \[ 7x^2 + 5x + 2 \]

Thus, the correctly simplified form is: 7x² + 5x + 2.