Question

complete the expressions and select the missing property. write each answer as a number, a variable, or the product of a number and a variable. \\(4(9p + 9)\\)\\(= 4 \cdot 9p + \square \cdot 9\\)\\(= 36p + \square\\) multiply

Explanation:

Step1: Apply Distributive Property

The distributive property states that \(a(b + c)=a\cdot b + a\cdot c\). For \(4(9p + 9)\), we distribute 4 to both terms inside the parentheses. So, \(4(9p + 9)=4\cdot9p + 4\cdot9\). Thus, the first missing number is 4.

Step2: Multiply the Constants

Now, calculate \(4\cdot9\). \(4\times9 = 36\). So the second missing number is 36. The property used is the Distributive Property.

Answer:

First box: \(4\)
Second box: \(36\)
Property: Distributive Property