Which of the following simplifies to the same expression as 4x2−3x2+5x−24 ?(1 point) Responses (x+6)(x−4) left parenthesis x plus 6 right parenthesis left parenthesis x minus 4 right parenthesis (x+8)(x−3) left parenthesis x plus 8 right parenthesis left parenthesis x minus 3 right parenthesis 2(x−12) 2 left parenthesis x minus 12 right parenthesis 4x(x−6)

Let's simplify the expression \(4x^2 - 3x^2 + 5x - 24\).

1. Combine the like terms:
\[
4x^2 - 3x^2 = x^2
\]
So the expression becomes:
\[
x^2 + 5x - 24
\]

2. Next, we need to factor this expression \(x^2 + 5x - 24\). We need two numbers that multiply to \(-24\) (the constant term) and add to \(5\) (the coefficient of the \(x\) term). The numbers \(8\) and \(-3\) satisfy these conditions:
\[
8 \times (-3) = -24 \quad \text{and} \quad 8 + (-3) = 5
\]

3. Therefore, we can factor the expression:
\[
x^2 + 5x - 24 = (x + 8)(x - 3)
\]

Now, we can match our result with the provided options. The expression that simplifies exactly to \(4x^2 - 3x^2 + 5x - 24\) is:

\((x + 8)(x - 3)\)

So, the correct answer is \((x + 8)(x - 3)\).