Answer:
[tex]\large\boxed{\dfrac{n^2}{4}}[/tex]
Step-by-step explanation:
[tex]\dfrac{n^2+2n}{4}\div\dfrac{n+2}{n}=\dfrac{n(n+2)}{4}\cdot\dfrac{n}{n+2}\\\\\text{cancel}\ (n+2)\\\\=\dfrac{n}{4}\cdot\dfrac{n}{1}=\dfrac{n^2}{4}[/tex]
