Perform the operations and simplify correctly. (8x2−7x+3)−(3x−9)+(−5x2+2x) (1 point) Responses 3x2+2x−6 3 x squared plus 2 x minus 6 13x2+12x−6 13 x squared plus 12 x minus 6 13x2−12x+12 13 x squared minus 12 x plus 12 3x2−8x+12

Answer 1

Let's simplify the expression step by step:

Given expression:

\[ (8x^2 - 7x + 3) - (3x - 9) + (-5x^2 + 2x) \]

1. Distribute the negative sign in the second term:

\[ (8x^2 - 7x + 3) - 3x + 9 + (-5x^2 + 2x) \]

2. Combine the constant terms and like terms. Start with the \(x^2\) terms:

\[ 8x^2 - 5x^2 = 3x^2 \]

Next, combine the \(x\) terms:

\[ -7x - 3x + 2x = -8x \]

And finally, combine the constant terms:

\[ 3 + 9 = 12 \]

3. Putting it all together, you get:

\[ 3x^2 - 8x + 12 \]

Thus, the simplified expression is:

\[ \boxed{3x^2 - 8x + 12} \]