subtract: (3b -2c) - (6c + 2b) - (b + c)
To subtract the given expression, we need to distribute the negative sign to each term inside the parentheses:
(3b - 2c) - (6c + 2b) - (b + c) = 3b - 2c - 6c - 2b - b - c
Next, we can combine like terms by adding or subtracting them:
(3b - 2b) + (-6c - 2c - c) - b = b - 9c - b
Finally, combining like terms again, we can simplify the expression:
b - 9c - b = -9c
So, the simplified expression is -9c.
To subtract the given expression step by step, we will start by simplifying each set of parentheses separately.
1. Simplify the first set of parentheses: (3b - 2c)
- Distribute the negative sign to each term inside the parentheses:
3b - 2c = 3b + (-2c) = 3b - 2c
2. Simplify the second set of parentheses: (6c + 2b)
- Distribute the negative sign to each term inside the parentheses:
- (6c + 2b) = -6c - 2b
3. Simplify the third set of parentheses: (b + c)
- Distribute the negative sign to each term inside the parentheses:
- (b + c) = -b - c
Now we can subtract all the simplified expressions:
(3b - 2c) - (6c + 2b) - (b + c)
= (3b - 2c) + (-6c - 2b) + (-b - c)
Combine like terms by adding or subtracting coefficients of similar variables:
3b - 2c + (-6c - 2b) + (-b - c)
= (3b - 2b) + (-6c - c) + (-2c - b)
= b + (-7c) + (-3c - b)
= b - 7c - 3c - b
Combine like terms again:
(b - b) + (-7c - 3c)
= 0 + (-10c)
= -10c
Therefore, the final simplified expression is -10c
To subtract the given expression: (3b - 2c) - (6c + 2b) - (b + c), you need to combine like terms and simplify the expression step by step.
Let's break it down:
Step 1: Distribute the negative sign to each term inside the parentheses.
(3b - 2c) - (6c + 2b) - (b + c)
= 3b - 2c - 6c - 2b - b - c
Step 2: Regroup the like terms together.
(3b - 2b) + (-6c - 2c - b - c)
= b - 8c - b - c
Step 3: Combine the like terms.
(b - b) + (-8c - c)
= 0 - 9c
Step 4: Simplify further.
0 - 9c
= -9c
Therefore, the simplified expression is -9c.