Question

Use the commutative property to rearrange the terms. Then simplify.

8ab−2b+ab−b

= 8ab + ab −

−
b

=
−

Answer 1

To rearrange the terms using the commutative property and then simplify the expression \( 8ab - 2b + ab - b \), you can follow these steps:

1. Rearrange the expression:
\[
8ab + ab - 2b - b
\]

2. Combine like terms:
- First, combine the terms with \( b \):
\[
-2b - b = -3b
\]
- Now, the expression becomes:
\[
8ab + ab - 3b
\]

3. Combine the \( ab \) terms:
\[
8ab + ab = (8 + 1)ab = 9ab
\]

Now, we combine everything:
\[
9ab - 3b
\]

So, the final simplified expression is:
\[
9ab - 3b
\]