Verified Answer :

\(\frac{3n^{2} - n}{n^{2} - 1} \div \frac{n^{2}}{n + 1}\)
\(\frac{n(3n) - n(1)}{n^{2} - n + n - 1} \div \frac{n^{2}}{n + 1}\)
\(\frac{n(3n - 1)}{n(n) - n(1) + 1(n) - 1(1)} \div \frac{n^{2}}{n + 1}\)
\(\frac{n(3n - 1)}{n(n - 1) + 1(n - 1)} \div \frac{n^{2}}{n + 1}\)
\(\frac{n(3n - 1)}{(n + 1)(n - 1)} \div \frac{n^{2}}{n + 1}\)
\(\frac{n(3n - 1)}{(n + 1)(n - 1)} \times \frac{n + 1}{n^{2}}\)
\(\frac{3n - 1}{n - 1} \times \frac{1}{n}\)
\(\frac{3n - 1}{n(n - 1)}\)
\(\frac{3n - 1}{n(n) - n(1)}\)
\(\frac{3n - 1}{n^{2} - n}\)