Question

Subtract: ( 3b - 2c ) - ( 6c + 2b ) - ( b + c )

Answer 1

To simplify the expression \((3b - 2c) - (6c + 2b) - (b + c)\), we will distribute the negative signs and combine like terms.

1. Start with the expression:
\[
(3b - 2c) - (6c + 2b) - (b + c)
\]

2. Distribute the negative sign:
\[
3b - 2c - 6c - 2b - b - c
\]

3. Now combine the like terms (the terms with \(b\) and the terms with \(c\)):
- For the \(b\) terms: \(3b - 2b - b = 3b - 3b = 0\)
- For the \(c\) terms: \(-2c - 6c - c = -2c - 6c - 1c = -9c\)

4. Putting it all together:
\[
0 - 9c = -9c
\]

Therefore, the simplified result is:
\[
\boxed{-9c}
\]