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

Answer 1

Let's simplify the expression step by step:

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

First, distribute the negative sign through the second set of parentheses:

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

Now, combine the terms:

1. Combine like terms for \(x^2\): \[ 7x^2 - 6x^2 = 1x^2 \]

2. Combine like terms for \(x\): \[ -6x - 4x + 3x = -7x \]

3. Combine constant terms: \[ 2 + 8 = 10 \]

Putting it all together, we get:

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

Thus, the final simplified expression is:

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