Question

Perform the operation(s) and simplify completely.

(7x2−6x+2)−(4x−8)+(−6x2+3x)

(1 point)
Responses

13x2−13x+10
13 x squared minus 13 x plus 10

x2−13x+10
x squared minus 13 x plus 10

x2−7x−6
x squared minus 7 x minus 6

x2−7x+10

Answer 1

To simplify the expression \((7x^2 - 6x + 2) - (4x - 8) + (-6x^2 + 3x)\), we will first distribute the negative sign in the second term and then combine like terms.

1. **Distributing the negative sign:**
\[
(7x^2 - 6x + 2) - (4x - 8) + (-6x^2 + 3x) = (7x^2 - 6x + 2) - 4x + 8 - 6x^2 + 3x
\]

2. **Rearranging:**
\[
7x^2 - 6x - 6x^2 - 4x + 3x + 2 + 8
\]

3. **Combining like terms:**
- **For \(x^2\) terms:**
\[
7x^2 - 6x^2 = 1x^2
\]
- **For \(x\) terms:**
\[
-6x - 4x + 3x = -7x
\]
- **For constant terms:**
\[
2 + 8 = 10
\]

4. **Putting it all together:**
\[
x^2 - 7x + 10
\]

Thus, the expression simplifies to:

**Answer:** \(x^2 - 7x + 10\) (x squared minus 7 x plus 10).