Subtract: (3b−2c)−(6c+2b)−(b+c) .
To subtract (3b−2c)−(6c+2b)−(b+c), we can perform the subtraction operation inside each set of parentheses first.
Inside the first set of parentheses, we have the expression 3b−2c.
Inside the second set of parentheses, we have the expression 6c+2b.
Inside the third set of parentheses, we have the expression b+c.
Performing the subtraction inside each set of parentheses, we get:
(3b - 2c) - (6c + 2b) - (b + c)
= 3b - 2c - 6c - 2b - b - c
Now, we can combine like terms:
= (3b - 2b - b) - (2c + 6c + c)
= (0b - b) - (9c)
= -b - 9c
Thus, the simplified expression is -b - 9c.
To subtract the expression (3b - 2c) - (6c + 2b) - (b + c), we can simplify it step by step:
Step 1: Distribute the negative sign to both terms inside the parentheses:
= 3b - 2c - 6c - 2b - b - c
Step 2: Combine like terms:
= (3b - 2b - b) + (-2c - 6c - c)
= 0b - 9c
= -9c
Therefore, the simplified expression is -9c.
To subtract the expression (3b - 2c) - (6c + 2b) - (b + c), we need to simplify each set of parentheses separately and then combine like terms.
First, let's simplify the first set of parentheses:
(3b - 2c) becomes 3b - 2c.
Next, let's simplify the second set of parentheses:
(6c + 2b) becomes 6c + 2b.
Lastly, let's simplify the third set of parentheses:
(b + c) becomes b + c.
Now we can combine the simplified expressions:
(3b - 2c) - (6c + 2b) - (b + c) = 3b - 2c - 6c - 2b - b - c.
Next, let's rearrange the terms:
3b - 2b - b - 2c - 6c - c.
Now, let's combine like terms:
(3b - 2b - b) = 0b (or just 0),
(-2c - 6c - c) = -9c.
Therefore, the final simplified expression is:
0b - 9c, which can be further simplified to just -9c.
So, the subtraction of (3b - 2c) - (6c + 2b) - (b + c) is equal to -9c.