Question

use the distributive property to remove the parentheses. (y - 7)3

Explanation:

Step1: Recall the distributive property

The distributive property states that \(a(b + c)=ab+ac\) (or \(a(b - c)=ab - ac\)). Here, we have \((y - 7)3\), which can be rewritten as \(3(y - 7)\) (multiplication is commutative, \(a\times b=b\times a\)).

Step2: Apply the distributive property

Using \(a(b - c)=ab - ac\) with \(a = 3\), \(b=y\), and \(c = 7\), we get:
\(3\times y-3\times7\)

Step3: Simplify the products

\(3\times y = 3y\) and \(3\times7=21\), so the expression becomes \(3y-21\).

Answer:

\(3y - 21\)