If `a = (1)/(a)= m and a ne 0`, find in terms of 'm', the value of :
`a- (1)/(a)`

Answer

To solve the problem, we start with the given equation:

1. **Given**: \( a = \frac{1}{a} = m \)

From this, we can express \( a \) in terms of \( m \):

2. **Step 1**: Since \( a = m \), we can write:
\[ a = m \]

3. **Step 2**: Now, we need to find the value of \( a - \frac{1}{a} \). We can substitute \( a \) with \( m \):
\[ a - \frac{1}{a} = m - \frac{1}{m} \]

4. **Step 3**: To simplify \( m - \frac{1}{m} \), we can find a common denominator:
\[ m - \frac{1}{m} = \frac{m^2}{m} - \frac{1}{m} = \frac{m^2 - 1}{m} \]

5. **Final Result**: Therefore, the value of \( a - \frac{1}{a} \) in terms of \( m \) is:
\[ a - \frac{1}{a} = \frac{m^2 - 1}{m} \]