Question

Perform the operation(s) and simplify completely. (7x2−6x+2)−(4x−8)+(−6x2+3x) (1 point) Responses x2−7x−6 x squared minus 7 x minus 6 x2−7x+10 x squared minus 7 x plus 10 13x2−13x+10 13 x squared minus 13 x plus 10 x2−13x+10

Answer 1

To simplify the given expression \((7x^2 - 6x + 2) - (4x - 8) + (-6x^2 + 3x)\), we'll follow the order of operations and combine like terms step-by-step.

First, distribute the negative sign in the second term:

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

Now combine the like terms and add the third term \((-6x^2 + 3x)\):

1. Combine the like terms from the expanded expression:
- For \(x^2\): \(7x^2 + (-6x^2) = 7x^2 - 6x^2 = 1x^2 = x^2\)
- For \(x\): \((-6x - 4x + 3x) = -6x - 4x + 3x = -7x\)
- For the constant: \(2 + 8 = 10\)

So far, we have:

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

Putting it all together, the expression simplifies to:

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

Thus, the final simplified result is:

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