The operation not involved in forming the expression `5x+(5)/(x)` from the variable x and number 5 is

Options

A. addition
B. subtraction
C. multiplication
D. divison

Answer

To solve the problem, we need to analyze the expression \( 5x + \frac{5}{x} \) and identify which mathematical operations are used to form it from the variable \( x \) and the number \( 5 \).

### Step-by-Step Solution:

1. **Identify the components of the expression**:
The expression given is \( 5x + \frac{5}{x} \). It consists of two parts: \( 5x \) and \( \frac{5}{x} \).

2. **Break down the first part \( 5x \)**:
- The term \( 5x \) can be rewritten as \( 5 \times x \).
- Here, the operation involved is **multiplication**.

3. **Break down the second part \( \frac{5}{x} \)**:
- The term \( \frac{5}{x} \) represents the division of \( 5 \) by \( x \).
- Here, the operation involved is **division**.

4. **Combine the two parts**:
- The expression combines \( 5x \) and \( \frac{5}{x} \) using the addition operation.
- Therefore, the operation involved here is **addition**.

5. **List the operations used**:
- From the analysis, we have identified the following operations:
- Multiplication (in \( 5x \))
- Division (in \( \frac{5}{x} \))
- Addition (to combine \( 5x \) and \( \frac{5}{x} \))

6. **Identify the operation not involved**:
- The only operation not used in forming the expression \( 5x + \frac{5}{x} \) is **subtraction**.

### Conclusion:
Thus, the operation not involved in forming the expression \( 5x + \frac{5}{x} \) from the variable \( x \) and the number \( 5 \) is **subtraction**.