How do you decompose the fraction
$$\frac1{s(n-s)} $$
to two fractions?
($s$ and $n$ are variables).
One may write, $$ \frac1{s(n-s)}=\frac1{n}\frac{n}{s(n-s)}=\frac1{n}\frac{(n-s)+s}{s(n-s)}=\frac1{n}\left(\frac1s+\frac1{n-s} \right)=\frac1{ns}+\frac1{n(n-s)}. $$
Copyright © 2021 JogjaFile Inc.
One may write, $$ \frac1{s(n-s)}=\frac1{n}\frac{n}{s(n-s)}=\frac1{n}\frac{(n-s)+s}{s(n-s)}=\frac1{n}\left(\frac1s+\frac1{n-s} \right)=\frac1{ns}+\frac1{n(n-s)}. $$