Question
Which expression is equivalent to 3(a−2b)−2a+b
?(1 point)
Responses
−a+−7b
negative A plus negative 7 b
a−5b
A minus 5 b
a+7b
A plus 7 b
a−2b
?(1 point)
Responses
−a+−7b
negative A plus negative 7 b
a−5b
A minus 5 b
a+7b
A plus 7 b
a−2b
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To simplify the expression \( 3(a - 2b) - 2a + b \), we will start by expanding it and then combining like terms.
1. Distribute the 3 into \( (a - 2b) \):
\[
3a - 6b
\]
2. Now rewrite the expression with the distributed part:
\[
3a - 6b - 2a + b
\]
3. Combine like terms (the \( a \) terms and the \( b \) terms):
- Combine \( 3a \) and \( -2a \):
\[
3a - 2a = a
\]
- Combine \( -6b \) and \( +b \):
\[
-6b + b = -5b
\]
4. Putting it all together, we have:
\[
a - 5b
\]
Thus, the expression \( 3(a - 2b) - 2a + b \) simplifies to \( a - 5b \).
The correct response is:
**a - 5b**
1. Distribute the 3 into \( (a - 2b) \):
\[
3a - 6b
\]
2. Now rewrite the expression with the distributed part:
\[
3a - 6b - 2a + b
\]
3. Combine like terms (the \( a \) terms and the \( b \) terms):
- Combine \( 3a \) and \( -2a \):
\[
3a - 2a = a
\]
- Combine \( -6b \) and \( +b \):
\[
-6b + b = -5b
\]
4. Putting it all together, we have:
\[
a - 5b
\]
Thus, the expression \( 3(a - 2b) - 2a + b \) simplifies to \( a - 5b \).
The correct response is:
**a - 5b**
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