Question
Which of the following correctly simplifies (9x2+17x+13)−(2x2+12x+11)
?(1 point)
Responses
7x2+5x+2
7 x squared plus 5 x plus 2
7x2+29x+24
7 x squared plus 29 x plus 24
12x2+2
12 x squared plus 2
9x2+17x+13−2x2−12x−11
?(1 point)
Responses
7x2+5x+2
7 x squared plus 5 x plus 2
7x2+29x+24
7 x squared plus 29 x plus 24
12x2+2
12 x squared plus 2
9x2+17x+13−2x2−12x−11
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To simplify the expression \((9x^2 + 17x + 13) - (2x^2 + 12x + 11)\), we can follow these steps:
1. Distribute the negative sign to each term in the second polynomial:
\[
(9x^2 + 17x + 13) - (2x^2 + 12x + 11) = 9x^2 + 17x + 13 - 2x^2 - 12x - 11
\]
2. Combine like terms:
- For \(x^2\) terms: \(9x^2 - 2x^2 = 7x^2\)
- For \(x\) terms: \(17x - 12x = 5x\)
- For constant terms: \(13 - 11 = 2\)
Thus, combining all these yields:
\[
7x^2 + 5x + 2
\]
Therefore, the correct simplified expression is:
**7x² + 5x + 2**.
1. Distribute the negative sign to each term in the second polynomial:
\[
(9x^2 + 17x + 13) - (2x^2 + 12x + 11) = 9x^2 + 17x + 13 - 2x^2 - 12x - 11
\]
2. Combine like terms:
- For \(x^2\) terms: \(9x^2 - 2x^2 = 7x^2\)
- For \(x\) terms: \(17x - 12x = 5x\)
- For constant terms: \(13 - 11 = 2\)
Thus, combining all these yields:
\[
7x^2 + 5x + 2
\]
Therefore, the correct simplified expression is:
**7x² + 5x + 2**.
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