Question
\left(7x^2-6x+2\right)-\left(4x-8\right)+\left(-6x^2+3x\right)
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To simplify the expression \((7x^2 - 6x + 2) - (4x - 8) + (-6x^2 + 3x)\), let's first distribute the negative sign in the second term and then combine like terms.
1. **Distribute the negative sign:**
\[
(7x^2 - 6x + 2) - 4x + 8 + (-6x^2 + 3x)
\]
2. **Combine all terms:**
\[
7x^2 - 6x + 2 - 4x + 8 - 6x^2 + 3x
\]
3. **Group like terms (i.e., \(x^2\) terms, \(x\) terms, and constant terms):**
- \(x^2\) terms: \(7x^2 - 6x^2 = (7 - 6)x^2 = 1x^2 = x^2\)
- \(x\) terms: \(-6x - 4x + 3x = (-6 - 4 + 3)x = -7x\)
- Constant terms: \(2 + 8 = 10\)
4. **Combine the results:**
\[
x^2 - 7x + 10
\]
Hence, the simplified expression is:
\[
\boxed{x^2 - 7x + 10}
\]
1. **Distribute the negative sign:**
\[
(7x^2 - 6x + 2) - 4x + 8 + (-6x^2 + 3x)
\]
2. **Combine all terms:**
\[
7x^2 - 6x + 2 - 4x + 8 - 6x^2 + 3x
\]
3. **Group like terms (i.e., \(x^2\) terms, \(x\) terms, and constant terms):**
- \(x^2\) terms: \(7x^2 - 6x^2 = (7 - 6)x^2 = 1x^2 = x^2\)
- \(x\) terms: \(-6x - 4x + 3x = (-6 - 4 + 3)x = -7x\)
- Constant terms: \(2 + 8 = 10\)
4. **Combine the results:**
\[
x^2 - 7x + 10
\]
Hence, the simplified expression is:
\[
\boxed{x^2 - 7x + 10}
\]
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.