asymptotics – Big Oh and Big Omega when n and log terms are in f(n)

having problems with big oh and big omega functions when there is a log and an added or subtracted. For example how do I deal with n+logn or n-logn when I have prove if true or false if in Big omega on n or n^ Is n-logn in big omega of n or n^2

I cannot ignore the log function and am not sure how to deal with it. Polynomials and logs when multiplied I find OK. But I have a mental block over this one so help would be appreciated