Move a term into each blank to create an equivalent expression

Question

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: \(3\)