Please obtain the correct $\backslash$Theta notation for the following expressions:

a$)2($lgn$)2+4$n $+3$n$2$ lgn

b$)(6$n$3$ lgn $+4)(10+$n$)$

c$)[($n$2+$lgn$)($n$+1)]/($n$+$ n$2)$

d$)8$lgn