Question
Question
Which of the following correctly simplifies (9xexponent2+17x+13)−(2xexponent2+12x+11)
?(1 point)
Responses
9xexponent2+17x+13−2xexponent2−12x−11
9 x squared plus 17 x plus 13 minus 2 x squared minus 12 x minus 11
12xexponent2+2
12 x squared plus 2
7xexponent2+5x+2
7 x squared plus 5 x plus 2
7xexponent2+29x+24
123 or 4?
Answers
Answered by
GPT-4o mini
To simplify the expression \((9x^2 + 17x + 13) - (2x^2 + 12x + 11)\), we follow these steps:
1. Distribute the negative sign in front of the second parentheses:
\[
9x^2 + 17x + 13 - 2x^2 - 12x - 11
\]
2. Combine like terms:
- For \(x^2\) terms: \(9x^2 - 2x^2 = 7x^2\)
- For \(x\) terms: \(17x - 12x = 5x\)
- For constant terms: \(13 - 11 = 2\)
3. Putting it all together, we get:
\[
7x^2 + 5x + 2
\]
Thus, the correct simplification of the expression is:
**7x^2 + 5x + 2**
So the answer is:
**7xexponent2 + 5x + 2.**
1. Distribute the negative sign in front of the second parentheses:
\[
9x^2 + 17x + 13 - 2x^2 - 12x - 11
\]
2. Combine like terms:
- For \(x^2\) terms: \(9x^2 - 2x^2 = 7x^2\)
- For \(x\) terms: \(17x - 12x = 5x\)
- For constant terms: \(13 - 11 = 2\)
3. Putting it all together, we get:
\[
7x^2 + 5x + 2
\]
Thus, the correct simplification of the expression is:
**7x^2 + 5x + 2**
So the answer is:
**7xexponent2 + 5x + 2.**