Question

Move a term into each blank to create an equivalent expression
12x+18=____(____+____)

Answer 1

To rewrite the expression \(12x + 18\) in the format \(k(m + n)\), we need to factor out a common factor from both terms.

1. First, identify the common factor of the coefficients 12 and 18. The greatest common factor (GCF) is 6.
2. Next, factor out 6 from the expression:

\[
12x + 18 = 6(2x + 3)
\]

Therefore, you can fill in the blanks as follows:

\[
12x + 18 = 6(2x + 3)
\]

So, the completed equation is:

\[
12x + 18 = 6(2x + 3)
\]

Thus, the terms to fill in are:
- First blank: \(6\)
- Second blank: \(2x\)
- Third blank: \(3\)