Question

use the distributive property to write an equivalent expression. 6(2w + 4)

Explanation:

Step1: Recall distributive property

The distributive property is \(a(b + c)=ab+ac\). Here, \(a = 6\), \(b=2w\), \(c = 4\).

Step2: Apply distributive property

Multiply 6 with each term inside the parentheses: \(6\times2w+6\times4\).

Step3: Simplify the products

\(6\times2w = 12w\) and \(6\times4=24\), so the equivalent expression is \(12w + 24\).

Answer:

\(12w + 24\)