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Use the commutative, associative, and distributive properties to simplify the following.7+7(6a + 3b) + 3(3a + 2)

Use the commutative, associative, and distributive properties to simplify the following-example-1
User Dan Hixon
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SOLUTION

We want to add 7+7(6a + 3b) + 3(3a + 2)

Using cummutative, we have that


\begin{gathered} 7+7(6a+3b)+3(3a+2)=3(3a+2)+7+7(6a+3b) \\ =3(3a+2)+7+7(6a+3b) \end{gathered}

For Distributive, we have


\begin{gathered} 3(3a+2)+7+7(6a+3b) \\ =9a+6+7+42a+21b \end{gathered}

For Associative, we have


\begin{gathered} 9a+42a+21b+6+7 \\ (51a+21b)+13 \\ =51a+(21b+13) \\ =51a+21b+13 \end{gathered}

User ZioBit
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