Which expressions are equivalent to 2 (4f + 2g)

Choose 3 answers:

8f + 2g

2f (4+2g)

8f + 4g

4 (2f + g)

4f+4f + 4g

8f+4g

4 (2f+g)

4f+4f+4g

2f (4 + 2g), 8f + 4g, 4 (2f + g), and 4f + 4f + 4g are equivalent to 2 (4f + 2g)

Step-by-step explanation:

You can figure this out by expanding (distributing) 2 (4f + 2g):

2 (4f + 2g) = 8f + 4g

Now, you can look at the answer choices and see which are equivalent:

8f + 2g ≠ 8f + 4g

2f (4 + 2g) = 8f + 4g = 8f + 4g

8f + 4g = 8f + 4g

4 (2f + g) = 8f + 4g = 8f + 4g

4f + 4f + 4g = 8f + 4g = 8f + 4g