To rearrange the terms using the commutative property and then simplify the expression \( 8ab - 2b + ab - b \), you can follow these steps:
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Rearrange the expression: \[ 8ab + ab - 2b - b \]
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Combine like terms:
- First, combine the terms with \( b \): \[ -2b - b = -3b \]
- Now, the expression becomes: \[ 8ab + ab - 3b \]
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Combine the \( ab \) terms: \[ 8ab + ab = (8 + 1)ab = 9ab \]
Now, we combine everything: \[ 9ab - 3b \]
So, the final simplified expression is: \[ 9ab - 3b \]