Perform the operation(s) and simplify completely.(7x2−6x+2)−(4x−8)+(−6x2+3x) (1 point)Responses13x2−13x+1013 x squared minus 13 x plus 10x2−7x+10x squared minus 7 x plus 10x2−7x−6x squared minus 7 x minus 6x2−13x+10

Answer 1

Let's perform the operation \((7x^2 - 6x + 2) - (4x - 8) + (-6x^2 + 3x)\) step-by-step:

1. First, distribute the negative sign in the second term: \[ (7x^2 - 6x + 2) - (4x - 8) = (7x^2 - 6x + 2) - 4x + 8 \]

2. Now, combine the terms: \[ 7x^2 - 6x - 4x + 2 + 8 = 7x^2 - 10x + 10 \]

3. Now, we add the last term \(-6x^2 + 3x\): \[ (7x^2 - 10x + 10) + (-6x^2 + 3x) = 7x^2 - 6x^2 - 10x + 3x + 10 \]

4. Combine like terms: \[ (7x^2 - 6x^2) + (-10x + 3x) + 10 = 1x^2 - 7x + 10 \]

So, the simplified expression is: \[ x^2 - 7x + 10 \]

Thus, the final answer is: \(x^2 - 7x + 10\).