Question

use the distributive property to write an equivalent expression.
8(6r + 6s)

Explanation:

Step1: Recall distributive property

The distributive property is \(a(b + c)=ab+ac\). Here, \(a = 8\), \(b = 6r\), \(c = 6s\).

Step2: Apply distributive property

Multiply 8 with each term inside the parentheses: \(8\times6r+8\times6s\).

Step3: Calculate the products

\(8\times6r = 48r\) and \(8\times6s=48s\). So the equivalent expression is \(48r + 48s\).

Answer:

\(48r + 48s\)