ii) \( \frac{p^{2} q-p q^{2}}{p^{2}-q^{2}} \)

To simplify the expression \( \frac{p^{2} q - p q^{2}}{p^{2} - q^{2}} \), you can start by factoring both the numerator and the denominator. The numerator can be factored as \( pq(p - q) \) and the denominator is the difference of squares, which factors to \( (p - q)(p + q) \). Now, putting it all together, we have: \[ \frac{pq(p - q)}{(p - q)(p + q)} \] Assuming \( p \neq q \) (to avoid division by zero), you can cancel the \( (p - q) \) terms: \[ \frac{pq}{p + q} \] Thus, the simplified form of the expression is \( \frac{pq}{p + q} \).