[tex] \frac{n^4+18n^3+36n^2}{9n^2} [/tex]
we can factor out a n² on top
[tex] \frac{n^2(n^2+18n+36)}{9n^2} [/tex]
cancel ones (the n² on top and bottom)
[tex] \frac{n^2+18n+36}{9} [/tex]
we can split the top up
remember
(a+b)/c=(a/c)+(b/c)
[tex] \frac{n^2+18n+36}{9} [/tex]=
[tex]\frac{n^2}{9}+\frac{18n}{9}+\frac{36}{9}[/tex]=
[tex]\frac{n^2}{9}+2n+4[/tex]
that is nicest form
