Answer:
[tex]\frac{1}{p-s}[/tex]
Step-by-step explanation:
[tex](p+s)(p^2-s^2)^{-1}[/tex]
[tex](p+s)\frac{1}{(p^2-s^2)}[/tex]
[tex]\frac{p+s}{p^2-s^2}[/tex]
[tex]\frac{p+s}{(p+s)(p-s)}[/tex]