apply commutative property of generate an expression equivalent to 8 + 9f - 2 + 6f - 8f - 4 + 12.

1 answer

To apply the commutative property, we group the like terms together and rearrange them.

The given expression is: 8 + 9f - 2 + 6f - 8f - 4 + 12

First, let's group the terms with the variable f:
(9f + 6f - 8f)

Next, let's group the constant terms:
(8 - 2 - 4 + 12)

Now, we can rearrange and simplify the expression:
(9f + 6f - 8f) + (8 - 2 - 4 + 12)

Combining the like terms within each group:
(7f) + (14)

Finally, the expression equivalent to the given expression, using the commutative property, is:
7f + 14