Question

Which expression is equivalent to 2(a+2b)−a−2b
?(1 point)
Responses

3a−2b
3 A minus 2 b

a−2b
A minus 2 b

a+2b
A plus 2 b

3a+2b

Answer 1

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

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

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

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

4. Putting it all together:
\[
a + 2b
\]

Thus, the equivalent expression is \( a + 2b \).

The correct response is:
**a + 2b** (A plus 2 b)