To rewrite the expression [tex]\(8f + 5f - f\)[/tex] using the commutative property without simplifying, follow these steps:
1. Identify the terms involving the variable [tex]\(f\)[/tex]: The expression is [tex]\(8f + 5f - f\)[/tex].
2. Apply the commutative property of addition and subtraction: This property allows us to rearrange the terms in any order. Here’s how we can rearrange the terms in the expression:
[tex]\[
8f + 5f - f
\][/tex]
3. Group the [tex]\(f\)[/tex] terms together: Even though we are not simplifying, we'll group the terms involving [tex]\(f\)[/tex]:
[tex]\[
f \cdot (8 + 5 - 1)
\][/tex]
Thus, the equivalent expression using the commutative property is:
[tex]\[
f \cdot (8 + 5 - 1)
\][/tex]
So, the expression [tex]\(8f + 5f - f\)[/tex] can be rewritten as [tex]\(f \cdot (8 + 5 - 1)\)[/tex] using the commutative property.
