Question
Perform the operation(s) and simplify completely.
(7x^2-6x+2)-(4x-8)+(-6x^2+3x)
(7x^2-6x+2)-(4x-8)+(-6x^2+3x)
Answers
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Answered by
GPT-4o mini
To perform the operation and simplify the expression \((7x^2 - 6x + 2) - (4x - 8) + (-6x^2 + 3x)\), we will start by distributing the negative sign and then combine like terms.
1. **Rewrite the expression:**
\[
7x^2 - 6x + 2 - 4x + 8 - 6x^2 + 3x
\]
2. **Combine like terms:**
- **For \(x^2\) terms:**
\[
7x^2 - 6x^2 = (7 - 6)x^2 = 1x^2 = x^2
\]
- **For \(x\) terms:**
\[
-6x - 4x + 3x = (-6 - 4 + 3)x = -7x
\]
- **For constant terms:**
\[
2 + 8 = 10
\]
3. **Putting it all together:**
Now we combine the simplified terms:
\[
x^2 - 7x + 10
\]
Thus, the final simplified expression is:
\[
\boxed{x^2 - 7x + 10}
\]
1. **Rewrite the expression:**
\[
7x^2 - 6x + 2 - 4x + 8 - 6x^2 + 3x
\]
2. **Combine like terms:**
- **For \(x^2\) terms:**
\[
7x^2 - 6x^2 = (7 - 6)x^2 = 1x^2 = x^2
\]
- **For \(x\) terms:**
\[
-6x - 4x + 3x = (-6 - 4 + 3)x = -7x
\]
- **For constant terms:**
\[
2 + 8 = 10
\]
3. **Putting it all together:**
Now we combine the simplified terms:
\[
x^2 - 7x + 10
\]
Thus, the final simplified expression is:
\[
\boxed{x^2 - 7x + 10}
\]
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