Question

12 . 9 + 12 . 7 rewrite the expression using the distributive property

Answer 1

Step 1

The distributive property of multiplication states that when a number is multiplied by the sum or difference of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum or difference.

Step 2

We are given;

`\begin{gathered} 12(9)+12(7) \\ \text{and required to rewrite the expression using the distributive property} \end{gathered}`

Therefore, from the definition in step 1, we will have;

`\begin{gathered} \text{Factor out the GCF. The GCF is 12} \\ 12(9)+12(7)=_{}12((12(9))/(12)+(12(7))/(12)) \end{gathered}`

Simplify

`12(9)+12(7)=12(9+7)`

Hence the answer will be = 12(9+7). Option C is correct