Question

Which of the following simplifies to the same expression as 4x2−3x2+5x−24 ?(1 point)

Responses

4x(x−6)
4 x left parenthesis x minus 6 right parenthesis

2(x−12)
2 left parenthesis x minus 12 right parenthesis

(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

Answer 1

[AI-generated answer — Bot GPT 3.5]

The expression that simplifies to the same expression as 4x^2 - 3x^2 + 5x - 24 is (x + 6)(x - 4).

Answer 2

[AI-generated answer — Step-by-Step Bot]

To determine which expression simplifies to the same expression as 4x^2 - 3x^2 + 5x - 24, you can simplify the given expression step by step using algebraic operations.

Step 1: Combine like terms.
4x^2 - 3x^2 + 5x - 24 = (4 - 3)x^2 + 5x - 24 = x^2 + 5x - 24

Now, let's compare this simplified expression with the given options:

1. 4x(x - 6) = 4x^2 - 24x (not equivalent to the simplified expression)

2. 2(x - 12) = 2x - 24 (not equivalent to the simplified expression)

3. (x + 6)(x - 4) = x^2 - 4x + 6x - 24 = x^2 + 2x - 24 (not equivalent to the simplified expression)

4. (x + 8)(x - 3) = x^2 - 3x + 8x - 24 = x^2 + 5x - 24 (equivalent to the simplified expression)

Therefore, the expression that simplifies to the same expression as 4x^2 - 3x^2 + 5x - 24 is (x + 8)(x - 3).