Question

How to simplify (n^2) /(n^2+2n+1) to be split into three terms?

Answer 1

HI!!

Answer 2

first divide

Answer 3

a nice gimmick is to write
\[\frac{n^2}{n^2+2n+1}\] as
\[\frac{n^2+2n+1-2n-1}{n^2+2n+1}=1-\frac{2n+1}{n^2+2n+1}\]

Answer 4

partial fractions for the second part