Question

Which expression is equivalent to%C2%A0 3(a−2b)−2a+b ?(1 point) Responses a−2b A minus 2 b a+7b A plus 7 b −a+−7b negative A plus negative 7 b a−5b A minus 5 b

Answer 1

Let's simplify the expression \(3(a - 2b) - 2a + b\) step by step.

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

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

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

Thus, the simplified expression is \(a - 5b\).

So the equivalent expression to \(3(a - 2b) - 2a + b\) is:
\[
\boxed{a - 5b}
\]