Question

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

Answer 1

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

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