Question

Identify the pair of equivalent expressions.(1 point)
Responses

3x+2
and 3(x+2)
3 x plus 2 and 3 times open paren x plus 2 close paren

3x+2x
and x2(3+2)
3 x plus 2 x and x squared times open paren 3 plus 2 close paren

−3(x+2)
and −6x−3
negative 3 times open paren x plus 2 close paren and negative 6 x minus 3

3(x+2)
and 3x+6

Answer 1

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

1. **3x + 2** and **3(x + 2)**
- **3(x + 2)** = 3*x + 3*2 = 3x + 6. (Not equivalent)

2. **3x + 2x** and **x²(3 + 2)**
- **3x + 2x** = (3 + 2)x = 5x.
- **x²(3 + 2)** = x² * 5 = 5x². (Not equivalent)

3. **−3(x + 2)** and **−6x − 3**
- **−3(x + 2)** = −3x − 6.
- **−6x − 3**. (Not equivalent)

4. **3(x + 2)** and **3x + 6**
- **3(x + 2)** = 3*x + 3*2 = 3x + 6. (Equivalent)

The pair of equivalent expressions is:

**3(x + 2)** and **3x + 6**.