To simplify the expression \( 2(a + 2b) - a - 2b \), we can follow these steps:
-
Distribute the \(2\) in the term \(2(a + 2b)\): \[ 2(a + 2b) = 2a + 4b \]
-
Substitute this back into the expression: \[ 2a + 4b - a - 2b \]
-
Now, combine like terms:
- For the \(a\) terms: \(2a - a = a\)
- For the \(b\) terms: \(4b - 2b = 2b\)
-
Putting it all together gives us: \[ a + 2b \]
So, the expression \( 2(a + 2b) - a - 2b \) simplifies to \( a + 2b \).
The correct response is: a + 2b (A plus 2 b).