Fully simplify $$ 3 d n+4 n d+7 d n $$

Question

UpStudy AI · Accepted Answer

To simplify the expression $$ 3dn + 4nd + 7dn $$, follow these steps:

1. **Recognize Variable Commutativity:**
   - In multiplication, the order of variables doesn't affect the product. Therefore, $$ dn = nd $$.

2. **Combine Like Terms:**
   - $$ 3dn + 4nd + 7dn = 3dn + 4dn + 7dn $$

3. **Add the Coefficients:**
   - $$ 3 + 4 + 7 = 14 $$

4. **Write the Simplified Expression:**
   - $$ 14dn $$

**Final Simplified Form:**
$$ 14\,d\,n $$
The simplified form of $$ 3dn + 4nd + 7dn $$ is $$ 14dn $$.

Fully simplify \( 3 d n+4 n d+7 d n \)