3.5k views
2 votes
Use the Distributive Property to rewrite each expression. Justify each step.

A) 20 - 8y
B) 20 - 2y
C) 4 - 10y
D) 4 - 2y

1 Answer

3 votes

Final answer:

The expressions A) 20 - 8y, B) 20 - 2y, C) 4 - 10y, and D) 4 - 2y do not require the use of the Distributive Property because there aren't common factors or groups that would demand such distribution. These expressions are already in their simplest forms.

Step-by-step explanation:

The Distributive Property in algebra is a concept that allows you to multiply a sum or difference inside parentheses by a factor outside. You distribute the multiplication to each term within the parentheses. Here's how you can rewrite the given expressions using the Distributive Property:

  • A) 20 - 8y: This expression does not have a common factor that can be distributed. The expression is already in its simplest form.
  • B) 20 - 2y: Similar to expression A, this one does not have a common factor that can be distributed. It is also in its simplest form.
  • C) 4 - 10y: Again, this expression does not have a common factor to be distributed, so it remains in its simplest form.
  • D) 4 - 2y: This expression has no common factor that would require the use of the Distributive Property. Therefore, it also remains in its simplest form.

In summary, none of the given expressions require rewriting using the Distributive Property since they do not have common factors or parenthetical groups that would necessitate distribution.

User Abdelghani Roussi
by
7.9k points