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

Answer 1

To simplify \((9x^2 + 17x + 13) - (2x^2 + 12x + 11)\), we will first distribute the negative sign across the second polynomial:

\[ 9x^2 + 17x + 13 - 2x^2 - 12x - 11 \]

Next, we can combine like terms:

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

So, combining all these, we get:

\[ 7x^2 + 5x + 2 \]

Thus, the correct simplification is:

\[ \boxed{7x^2 + 5x + 2} \]