(3b-2c)-(6c+2b)-(b+c)
To simplify the expression (3b-2c)-(6c+2b)-(b+c), we can first remove the parentheses.
(3b-2c)-(6c+2b)-(b+c)
= 3b - 2c - 6c - 2b - b - c
Next, we can combine like terms.
= (3b - 2b) + ( -6c - 2c - c) - b
= b - 9c - b - b - c
= -b - 10c
To simplify the expression (3b-2c)-(6c+2b)-(b+c), you'll need to perform the operations step by step. Let's break it down:
Step 1: Distribute the negative sign through the second parentheses:
(3b - 2c) - (6c + 2b) - (b + c) = 3b - 2c - 6c - 2b - b - c
Step 2: Combine like terms:
Group the terms that have the same variables together:
(3b - 2b) + (-6c - 2c - c) - (2c + b)
This simplifies to:
b - 9c - 2c - b
Step 3: Combine like terms again:
(b - b) + (-9c - 2c)
The b terms cancel each other out, and we are left with:
-11c
So, the simplified expression is -11c.
To simplify the expression (3b-2c)-(6c+2b)-(b+c), we can start by removing the parentheses using the distributive property.
First, let's remove the parentheses around (6c + 2b) by distributing the negative sign (-) to both terms inside, which gives us:
(3b - 2c) - 6c - 2b - (b + c)
Now, let's remove the parentheses around (b + c) by distributing the negative sign (-) to both terms inside, which gives us:
3b - 2c - 6c - 2b - b - c
Next, we can combine like terms. Like terms are those that have the same variables raised to the same powers. In this case, we have:
(3b - 2b) - (2c + 6c) - b - 2c - c
Simplifying further, we get:
b - 8c - b - 2c - c
Combining like terms again, we have:
(b - b) + (-8c - 2c - c)
Since b - b = 0, we can ignore it. And -8c - 2c - c is equivalent to -11c.
So, the simplified expression is:
-11c