Which expression is equivalent to 3(a−2b)−2a+b

Question

?(1 point)
Responses

−a+−7b
negative A plus negative 7 b

a−5b
A minus 5 b

a−2b
A minus 2 b

a+7b
A plus 7 b

Answer 1

To simplify the expression \( 3(a - 2b) - 2a + b \), we can follow these steps:

1. Distribute the 3 in the first term: \[ 3(a - 2b) = 3a - 6b \]

2. Substitute this back into the expression: \[ 3a - 6b - 2a + b \]

3. Combine like terms (combine \(3a\) with \(-2a\) and \(-6b\) with \(b\)): \[ (3a - 2a) + (-6b + b) = a - 5b \]

So, the expression \( 3(a - 2b) - 2a + b \) simplifies to \( a - 5b \).

The correct response is: a − 5b