Question

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

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

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

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

−3(x+2)
and −3x−3

Answer 1

To identify the pair of equivalent expressions, let's simplify each pair.

1. **3x + 2x** simplifies to **5x**.
- **x²(3 + 2)** simplifies to **5x²**.

These are not equivalent.

2. **2(x + 3)** simplifies to **2x + 6**.
- **2x + 6** is already in its simplest form.

These are equivalent.

3. **2x + 2** and **2(x + 2)**.
- **2x + 2** is already in its simplest form.
- **2(x + 2)** simplifies to **2x + 4**.

These are not equivalent.

4. **−3(x + 2)** simplifies to **−3x - 6**.
- **−3x − 3** is in its simplest form.

These are not equivalent.

Only the second pair **2(x + 3)** and **2x + 6** are equivalent expressions.