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

1 answer

First, let's simplify each set of parentheses separately:

1) (3b - 2c) - (6c + 2b)
Multiply the second set of parentheses by -1 to change the sign of each term:
3b - 2c - 6c - 2b

2) 3b - 2c - 6c - 2b - (b + c)
Remove the parentheses by distributing the negative sign inside the set:
3b - 2c - 6c - 2b - b - c

Now, let's combine like terms:
(3b - 2b - 2b) - (2c - 6c - c)
Simplify the terms inside parentheses further:
-b - 2c

Therefore, the simplified expression is -b - 2c.