Question

Which expression is equivalent to%C2%A0 2(a+2b)−a−2b ?(1 point) Responses a−2b A minus 2 b a+2b A plus 2 b 3a−2b 3 A minus 2 b 3a+2b

Answer 1

To simplify the expression \( 2(a + 2b) - a - 2b \), we can follow these steps:

1. Distribute the 2 in the term \( 2(a + 2b) \):
\[
2(a + 2b) = 2a + 4b
\]

2. Substitute this back into the original expression:
\[
2a + 4b - a - 2b
\]

3. Combine like terms:
- For \( a \): \( 2a - a = a \)
- For \( b \): \( 4b - 2b = 2b \)

So, the simplified expression is:
\[
a + 2b
\]

None of the provided responses directly matches \( a + 2b \). If \( a + 2b \) were one of the responses, it would be the equivalent expression. Please review your options to ensure they are accurate, or if there are any errors in their listings.