Question

an expression is shown.
$12x + 18 = \square(\square + \square)$
move a term into each blank to create an equivalent expression.
options: $2x$, $6x$, $3x$, $3$, $8$, $2$, $6$

Explanation:

Step1: Find GCF of 12x and 18

The greatest common factor (GCF) of 12x and 18 is 6.

Step2: Factor out GCF from each term

$\frac{12x}{6} = 2x$ and $\frac{18}{6} = 3$. So, $12x + 18 = 6(2x + 3)$.

Step3: Match with given terms

The terms 6, 2x, and 3 are in the provided list. Thus, fill the blanks with 6, 2x, and 3 respectively.

Answer:

6(2x + 3)