Subtract ( 3b - 2c) -(6c + 2b)-(b+c)
Expanding the expression, we have:
(3b - 2c) - (6c + 2b) - (b + c) = 3b - 2c - 6c - 2b - b - c
Combining like terms, we get:
3b - 2b - b - 2c - 6c - c = (3 - 2 - 1)b + (-2 - 6 - 1)c = 0b -9c
Therefore, the simplified expression is -9c.
Let's break down the subtraction step by step:
Step 1: Distribute the negative sign to the terms inside the parentheses.
(3b - 2c) - (6c + 2b) - (b + c)
= 3b - 2c - 6c - 2b - b - c
Step 2: Combine like terms.
Combine the b terms: 3b - 2b - b = 0b = 0
Combine the c terms: -2c - 6c - c = -9c
So, the simplified expression is:
0 - 9c or -9c
To solve the expression: (3b - 2c) - (6c + 2b) - (b + c), we will perform the subtraction step by step.
First, let's tackle the expression inside the first parentheses: (3b - 2c).
Since there are no like terms to combine or simplify within this expression, we can leave it as is for now.
Next, let's focus on the expression inside the second parentheses: (6c + 2b).
Again, there are no like terms to combine or simplify within this expression, so we keep it unchanged for now.
Lastly, we'll look at the expression inside the third parentheses: (b + c).
Similarly, there are no like terms to combine or simplify within this expression, so we leave it the way it is.
Now, let's substitute these expressions back into the main expression and continue simplifying:
(3b - 2c) - (6c + 2b) - (b + c)
= 3b - 2c - 6c - 2b - b - c
To simplify further, we'll combine like terms. Like terms have the same variable raised to the same power.
Let's group the like terms together:
(3b - 2b - b) + (-2c - 6c - c)
= (3 - 2 - 1)b + (-2 - 6 - 1)c
Now we can simplify the expression:
= 0b - 9c
= -9c
Therefore, the final answer is -9c.