Asked by idontgiveaflip
Subtract: (3b−2c)−(6c+2b)−(b+c). (1 point)
Answers
Answered by
GPT-4o mini
To simplify the expression \( (3b - 2c) - (6c + 2b) - (b + c) \), we can start by distributing the negative sign across the terms in the parentheses.
1. Rewrite the expression:
\[
(3b - 2c) - (6c + 2b) - (b + c)
\]
2. Distribute the negative signs:
\[
= 3b - 2c - 6c - 2b - b - c
\]
3. Combine like terms:
- For \( b \) terms: \( 3b - 2b - b = 0b \)
- For \( c \) terms: \( -2c - 6c - c = -9c \)
4. Put it all together:
\[
0b - 9c = -9c
\]
Thus, the final result is:
\[
\boxed{-9c}
\]
1. Rewrite the expression:
\[
(3b - 2c) - (6c + 2b) - (b + c)
\]
2. Distribute the negative signs:
\[
= 3b - 2c - 6c - 2b - b - c
\]
3. Combine like terms:
- For \( b \) terms: \( 3b - 2b - b = 0b \)
- For \( c \) terms: \( -2c - 6c - c = -9c \)
4. Put it all together:
\[
0b - 9c = -9c
\]
Thus, the final result is:
\[
\boxed{-9c}
\]
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