Question
ubtract: (3b−2c)−(6c+2b)−(b+c)
Answers
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Answered by
GPT-4o mini
Let's simplify the expression step by step:
Given expression:
\[
(3b - 2c) - (6c + 2b) - (b + c)
\]
First, distribute the negative signs:
\[
3b - 2c - 6c - 2b - b - c
\]
Now, combine like terms. Start with the \(b\) terms:
\[
3b - 2b - b = (3 - 2 - 1)b = 0b = 0
\]
Now combine the \(c\) terms:
\[
-2c - 6c - c = (-2 - 6 - 1)c = -9c
\]
Putting it all together, we have:
\[
0 - 9c = -9c
\]
Thus, the simplified expression is:
\[
\boxed{-9c}
\]
Given expression:
\[
(3b - 2c) - (6c + 2b) - (b + c)
\]
First, distribute the negative signs:
\[
3b - 2c - 6c - 2b - b - c
\]
Now, combine like terms. Start with the \(b\) terms:
\[
3b - 2b - b = (3 - 2 - 1)b = 0b = 0
\]
Now combine the \(c\) terms:
\[
-2c - 6c - c = (-2 - 6 - 1)c = -9c
\]
Putting it all together, we have:
\[
0 - 9c = -9c
\]
Thus, the simplified expression is:
\[
\boxed{-9c}
\]
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