Identify the pair of equivalent expressions. (1 point)

Question

-3 (x + 2) and - 6х - 3
3x + 2x and x^2 (3 + 2)
• 3x + 2 and 3 (x + 2)
3 (x + 2) and 3x + 6

Answer 1

To determine which pair of expressions are equivalent, let's simplify each pair one by one.

1. -3(x + 2) and -6x - 3: \[ -3(x + 2) = -3x - 6 \] Comparing this with \(-6x - 3\), they are not equivalent.

2. 3x + 2x and x^2(3 + 2): \[ 3x + 2x = 5x \] \[ x^2(3 + 2) = x^2 \cdot 5 = 5x^2 \] Comparing \(5x\) and \(5x^2\), they are not equivalent.

3. 3x + 2 and 3(x + 2): \[ 3(x + 2) = 3x + 6 \] Comparing \(3x + 2\) and \(3x + 6\), they are not equivalent.

4. 3(x + 2) and 3x + 6: \[ 3(x + 2) = 3x + 6 \] These two expressions are equivalent.

Therefore, the pair of equivalent expressions is 3(x + 2) and 3x + 6.