Subtract: (3b−2c)−(6c+2b)−(b+c). (1 point)

Answer 1

To simplify the expression \( (3b - 2c) - (6c + 2b) - (b + c) \), we can start by distributing the negative sign across the terms in the parentheses.

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

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

3. Combine like terms:

   • For \( b \) terms: \( 3b - 2b - b = 0b \)
   • For \( c \) terms: \( -2c - 6c - c = -9c \)

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

Thus, the final result is: \[ \boxed{-9c} \]