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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

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.