Question

use the distributive property to write an equivalent expression. 6(p + 9q)

Explanation:

Step1: Recall the distributive property

The distributive property states that \(a(b + c)=ab+ac\). Here, \(a = 6\), \(b=p\) and \(c = 9q\).

Step2: Apply the distributive property

Multiply 6 with each term inside the parentheses: \(6\times p+6\times9q\).

Step3: Simplify the products

\(6\times p = 6p\) and \(6\times9q=54q\). So the equivalent expression is \(6p + 54q\).

Answer:

\(6p + 54q\)