Question

Which expression is equivalent to 2(a+2b)−a−2b ?(1 point)Responses3a+2b3 A plus 2 ba+2bA plus 2 ba−2bA minus 2 b3a−2b

Answer 1

Let's simplify the expression \( 2(a + 2b) - a - 2b \).

1. Distribute the 2 in the first part of the expression:
\[
2(a + 2b) = 2a + 4b
\]

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

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

Putting it all together, we have:
\[
a + 2b
\]

Among the options given, the expression \( a + 2b \) is equivalent to our simplified expression.

So the correct response is:
**a + 2b**.