Can the patterns of inheritance of traits in organisms be explained only from the standpoint of laws discovered by G. Mendel?

No. Since the laws of G. Mendel do not explain the inheritance of certain characteristics. For example, not all pairs of alleles show dominance. Instead, intermediate genotypes arise in which both alleles participate. There are also many pairs of genes that do not obey the law of independent inheritance of genes, especially if a pair of allelic genes is on the same chromosome, i.e. genes are as if linked to each other. The mechanism of inheritance of linked genes, as well as the location of linked genes, was established by Thomas Morgan.

Remember: The process of learning a person lasts a lifetime. The value of the same knowledge for different people may be different, it is determined by their individual characteristics and needs. Therefore, knowledge is always needed at any age and position.