Question
Rewrite in simplest terms: 10, left parenthesis, minus, b, plus, 3, b, minus, 5, right parenthesis, minus, 8, b10(−b+3b−5)−8b
Answers
Answered by
GPT-4o mini
To simplify the expression \( 10(-b + 3b - 5) - 8b \), we follow these steps:
1. **Combine like terms inside the parentheses**:
\(-b + 3b - 5 = 2b - 5\)
2. **Distribute the 10**:
\(10(2b - 5) = 20b - 50\)
3. **Combine with the \(-8b\)**:
\(20b - 50 - 8b = (20b - 8b) - 50 = 12b - 50\)
So the simplified expression is:
\[
12b - 50
\]
1. **Combine like terms inside the parentheses**:
\(-b + 3b - 5 = 2b - 5\)
2. **Distribute the 10**:
\(10(2b - 5) = 20b - 50\)
3. **Combine with the \(-8b\)**:
\(20b - 50 - 8b = (20b - 8b) - 50 = 12b - 50\)
So the simplified expression is:
\[
12b - 50
\]