Solve 3m(? + ?) = 6mn + 9m: Finding Missing Values in Algebraic Distribution

Fill in the missing values:

$3m(?+?)=6mn+9m$

To solve this problem, we'll follow these steps:

• Step 1: Look at the right side of the equation, $6mn + 9m$, and factor out the common term $3m$.
• Step 2: Upon factoring, rewrite the expression as $3m(2n + 3)$.
• Step 3: Compare this factored form to the left side $3m(?+?)$.
• Step 4: Identify the terms inside the parentheses: $2n$ for the first place and $3$ for the second.

Following these steps:
Step 1: Recognize that both terms $6mn$ and $9m$ on the right have a common factor of $3m$.
Step 2: Factor out $3m$ to get $3m(2n + 3)$.
Step 3: Note that $3m(?+?)$ needs to match $3m(2n + 3)$.
Step 4: Thus, the expressions inside the parentheses are $? = 2n$ and $? = 3$.

Therefore, the solution to the problem is $2n, 3$.