I need to use partial fractions on this term:

this term (note: it said :

and lastly this term

I am stumped because I have tried all the methods that worked on the prior problems (which were easier no doubt) but I keep running into an impasse. Can anyone please help? I'm in differential equations (doing the chapter on LaPlacian's) but this is definitely from calculus. Thank you!

Kind Regards,

Andy