Cell division is the process in which the cell divides into two or more daughter cells whereas cell differentiation is a process in which embryonic cells become specialized cells according to their function.
DNA amount changes in cell division but no change in DNA in cellular differentiation.
Explanation:
During cell division, either mitosis or meiosis will take place in somatic or germ cells resulting in 2 diploid and 4 haploid cells respectively. The daughter cells are responsible for repairing or gamete formation. The amount of DNA content doubles in cell division.
In cell differentiation cells become specialized for the functions they have been destined like blood cells, nerve cells etc. Different types of cells are formed because different genes are expressed for the specific function. Hence, there will be no change in DNA only the sequence of DNA dictates the specialized cell for the particular function.
Sister chromosome exchanges are recombination events that occur between homologous chromosomes and are often the result of exposure of the cell to DNA damaging agents.
Cross over, or recombination, is the exchange of chromosome segments between non sister chromatids in meiosis. Crossing over creates new combinations of genes in the gametes that are not found in either parent, contributing to genetic diversity.
I believe the answer is A.) Inside the nucleus, because in the nucleus there is DNA, RNA, and nuclear proteins. I hope this helps love! :)