Question

find a difference equivalent to the product shown.
7(x - y)

7(x - y) =
options:
7x - 7y
x - 7y
-7x - 7y
7x - y

Explanation:

Step1: Apply Distributive Property

The distributive property states that \( a(b - c)=ab - ac \). For \( 7(x - y) \), we distribute 7 to both \( x \) and \( -y \).
So, \( 7\times x - 7\times y \).

Step2: Simplify the Terms

Simplifying \( 7\times x \) gives \( 7x \) and \( 7\times y \) gives \( 7y \). So the expression becomes \( 7x - 7y \).

Answer:

\( 7x - 7y \)