prove the following based on the definitions of the asymptotic notation

prove or disprove the following based on the definitions of the asymptotic notations in each sub part

Problem 4. Asymptotic Notation Prove or disprove the following statements. (1) 4n2+25n2022=(n2). (2) nlog10n=(n) (3) 2n2=4n+O(22n). (4) nlog2(n)+O(n)=(nlog10(n)). (5) nlog2(log3n)=(n). (6) n2n=O(22n)