Which expression is equivalent to 2(a+2b)−a−2b

Question

?(1 point)
Responses

a+2b
A plus 2 b

3a−2b
3 A minus 2 b

3a+2b
3 A plus 2 b

a−2b

Answer 1

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

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

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

3. Combine like terms:

   • For \( a \): \( 2a - a = a \)
   • For \( b \): \( 4b - 2b = 2b \)

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

The correct response is: a + 2b