I have a problem i cant seem to figure out. I am trying to find the power series expansion for the function

$\displaystyle f(x) = \frac {9} {5 + x} $

c = 5

Now, would i arrange the 5 + x to force a negative?

$\displaystyle f(x) = \frac {9} {5 - (-x)} $

then, subtract C? I think this is where i get confused on how to handle C correctly!

$\displaystyle f(x) = \frac {9} {-5 + 5 - (-x -5 ) } $

$\displaystyle f(x) = \frac {9} {-5 + 5 - (-x -5 ) } $

$\displaystyle f(x) = \frac {9} {0 - (-x -5 ) } $

But, somehow this isnt correct..