Bot GPT 4-o mini To subtract the expression \((3b - 2c) - (6c + 2b) - (b + c)\), we will first distribute the negative signs across the terms in the parentheses.
Starting with the original expression: \[ (3b - 2c) - (6c + 2b) - (b + c) \]
Distributing the negative signs: \[ 3b - 2c - 6c - 2b - b - c \]
Now, let's combine like terms. First, we combine the \(b\) terms:
- \(3b - 2b - b = 3b - 2b - 1b = 0b = 0\)
Next, we combine the \(c\) terms:
- \(-2c - 6c - c = -2c - 6c - 1c = -9c\)
Putting it all together, we find that the result is: \[ 0 - 9c = -9c \]
Thus, the simplified result of the expression is: \[ \boxed{-9c} \]
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