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 x2−7x+10 x squared minus 7 x plus 10 x2−7x−6 x squared minus 7 x minus 6 x2−13x+10

Answer 1

Let's simplify the expression step by step. The expression we need to simplify is:

\[
(7x^2 - 6x + 2) - (4x - 8) + (-6x^2 + 3x)
\]

1. **Distribute the negative sign** in front of the second group:

\[
(7x^2 - 6x + 2) - 4x + 8 + (-6x^2 + 3x)
\]

Which simplifies to:

\[
7x^2 - 6x + 2 - 4x + 8 - 6x^2 + 3x
\]

2. **Combine like terms**:

- For \(x^2\) terms:
\[
7x^2 - 6x^2 = (7 - 6)x^2 = 1x^2 \text{ or simply } x^2
\]

- For \(x\) terms:
\[
-6x - 4x + 3x = (-6 - 4 + 3)x = -7x
\]

- For constant terms:
\[
2 + 8 = 10
\]

3. **Combine all simplified terms**:

Putting it all together, we have:

\[
x^2 - 7x + 10
\]

Thus, the completely simplified expression is:

\[
\boxed{x^2 - 7x + 10}
\]