Question

Identify the pair of equivalent expressions.(1 point)Responses3x+2 and 3(x+2) 3 x plus 2 and 3 times open paren x plus 2 close paren3(x+2) and 3x+63 times open paren x plus 2 close paren and 3 x plus 6−3(x+2) and −6x−3 negative 3 times open paren x plus 2 close paren and negative 6 x minus 33x+2x and x2(3+2)

Answer 1

To find the pair of equivalent expressions, let's simplify each pair of responses given.

1. **3x + 2 and 3(x + 2)**:
- \(3(x + 2) = 3x + 6\) (not equivalent to \(3x + 2\))

2. **3(x + 2) and 3x + 6**:
- As shown above, \(3(x + 2) = 3x + 6\) (equivalent)

3. **−3(x + 2) and −6x − 3**:
- \(-3(x + 2) = -3x - 6\) (not equivalent to \(-6x - 3\))

4. **3x + 2x and x^2(3 + 2)**:
- \(3x + 2x = 5x\)
- \(x^2(3 + 2) = x^2 \cdot 5 = 5x^2\) (not equivalent)

From these steps, the pair of equivalent expressions is:
**3(x + 2) and 3x + 6**.