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

Question

?(1 point)
Responses

3a+2b
3 A plus 2 b

a−2b
A minus 2 b

a+2b
A plus 2 b

3a−2b

Answer 1

To simplify the expression $2(a+2b)-a-2b$, 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 expression: $$2a+4b-a-2b$$

3. Now, combine like terms:

   • For the $a$ terms: $2a-a=a$
   • For the $b$ terms: $4b-2b=2b$

4. 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).