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.