Question

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complete the expressions. write each answer as a number 3(9z + 2) = \square \cdot 9z + 3 \cdot 2 distributive prop = \square + 6 multiply

Explanation:

Step1: Apply distributive property

The distributive property states that \( a(b + c)=a\cdot b + a\cdot c \). For \( 3(9z + 2) \), we distribute the 3 to both terms inside the parentheses. So the first blank is 3, since we have \( 3\cdot9z+3\cdot2 \).

Step2: Multiply 3 and 9

Now, calculate \( 3\cdot9z \). \( 3\times9 = 27 \), so \( 3\cdot9z=27z \).

Answer:

First blank: 3; Second blank: \( 27z \)