Subtract 2 ( 1-b + 4 ) - ( b - 2 )

Answer 1

To simplify the expression \( 2 ( 1 - b + 4 ) - ( b - 2 ) \), we will follow the order of operations step by step.

1. Simplify the expression inside the parentheses: \( 1 - b + 4 = 5 - b \)

2. Multiply by 2: \( 2(5 - b) = 10 - 2b \)

3. Now, substitute back into the original expression: \[ 10 - 2b - (b - 2) \]

4. Distribute the negative sign across the second parentheses: \[ 10 - 2b - b + 2 \]

5. Combine like terms: \[ 10 + 2 - 2b - b = 12 - 3b \]

Thus, the simplified expression is: \[ \boxed{12 - 3b} \]