Subtract(3b -2c) -(6c+2b)-(b+c)
To subtract (3b - 2c) -(6c + 2b) - (b + c), we need to distribute the negative sign to each term within the parentheses.
First, distribute the negative sign to (6c + 2b):
-(6c + 2b) = -6c - 2b
Now, distribute the negative sign to (b + c):
-(b + c) = -b - c
Finally, substitute the rewritten expressions into the original expression:
(3b - 2c) - (6c + 2b) - (b + c) = 3b - 2c - 6c - 2b - b - c
Combine like terms:
= (3b - 2b - b) + (-2c - 6c - c)
Simplify:
= (0b - 3b) + (-9c)
= -3b - 9c
Therefore, the simplified expression is -3b - 9c.
To subtract the expressions (3b - 2c) - (6c + 2b) - (b + c), you need to distribute the negative sign to each term in the parentheses. Here are the steps:
1. Distribute the negative sign to (6c + 2b) and (b + c):
(3b - 2c) - (6c + 2b) - (b + c) = 3b - 2c - 6c - 2b - b - c
2. Collect like terms:
Rearrange the terms by grouping the same variables together:
(3b - 2b) + (-6c - 2c - c) - 2c = b - 9c - 2c
Therefore, the simplified expression is b - 11c.
To simplify the expression:
Subtract (3b - 2c) from (6c + 2b), and then subtract (b + c) from the result.
Let's break it down step by step:
Step 1: Subtract (3b - 2c) from (6c + 2b)
To do this, distribute the negative sign (-) to the terms inside the parentheses.
(6c + 2b) - (3b - 2c) = 6c + 2b - 3b + 2c
Step 2: Simplify the expression by combining like terms.
Combine the terms with the same variable.
6c - 3b + 2b + 2c = 8c - b
Now we have the result of the first subtraction: 8c - b
Step 3: Subtract (b + c) from the result we obtained.
To do this, distribute the negative sign (-) to the terms inside the parentheses.
(8c - b) - (b + c) = 8c - b - b - c
Step 4: Simplify the expression by combining like terms.
Combine the terms with the same variable.
8c - b - b - c = 8c - 2b - c
The final simplified expression is 8c - 2b - c.