Please obtain the correct $$ notation for the following expressions:

a$)2(lgn{)}^2+4n+3n^{2}lgn$

b$)(6n^{3}lgn+4)(10+n)$

c$)\frac{(n^2+lgn)(n+1)}{n+n^2}$

d$)8^{lgn}$

Hint: drop low order terms and leading coefficient