Exercise 32 Page 225

We are asked to match the given expression with an equivalent expression. First, we will simplify it. To do it, we will use the Distributive Property. We will distribute 6 to the terms inside the parentheses.

6(n+2)

Distr

Distribute 6

6(n)+6(2)

Multiply

Multiply

6n+12

Since 6n and 12 are not like terms, the expression cannot be simplified further. Now let's take a look at the possible equivalent expressions.

Option	Expression	Is It Equivalent to 6n+12?
A	3(2n+6)	?
B	6n+9	No
C	3(2n+8)	?
D	6n+12	Yes

We found that the expression from option D is equivalent to the given expression!