Simplify. \( \frac{\frac{c^{2}-d^{2}}{c d}}{\frac{c-d}{d}} \) The simplified expression is \( \square \).

To simplify the expression \( \frac{\frac{c^{2}-d^{2}}{c d}}{\frac{c-d}{d}} \), we can start by rewriting it: 1. The numerator \( c^{2}-d^{2} \) can be factored as \( (c-d)(c+d) \). So, we have: \[ \frac{(c-d)(c+d)}{cd} \] 2. Now, the denominator \( \frac{c-d}{d} \) can also be rewritten: \[ \frac{c-d}{d} = \frac{c-d}{1} \cdot \frac{1}{d} = \frac{c-d}{d} \] So our expression becomes: \[ \frac{(c-d)(c+d)}{cd} \div \frac{c-d}{d} \] 3. We can flip the denominator and multiply: \[ \frac{(c-d)(c+d)}{cd} \cdot \frac{d}{c-d} \] 4. Notice that \( c-d \) cancels out (assuming \( c \neq d \)): \[ \frac{(c+d)d}{c} = \frac{d(c+d)}{c} \] Thus, the simplified expression is: \[ \frac{d(c+d)}{c} \] So, the final answer is: \( \frac{d(c+d)}{c} \)