Question

Simplify show your work

Answer 1

Simplify the first fraction:
$\frac{3n^{2}-n}{n^{2}-1} = \frac{3n(n-1)}{(n+1)(n-1)} = \frac{3n}{n+1}$

Your equation becomes:
$\frac{3n}{n+1} + \frac{n^{2} }{n+1} \\ = \frac{n^{2} + 3n}{n+1} \\ = \frac{n(n + 3)}{n+1}$

That last fraction becomes your final answer.