How can you use properties to write equivalent expressions?

Answer 1

You can use properties such as the distributive property, associative property, and commutative property to write equivalent expressions. For example, the distributive property allows you to expand or factor expressions, like rewriting (a(b + c)) as (ab + ac). The commutative property enables you to change the order of terms, such as (a + b) becoming (b + a), while the associative property lets you regroup terms, such as ((a + b) + c) being rewritten as (a + (b + c)). By applying these properties, you can create different but equivalent forms of the same expression.