The binomial theorem, also known as Newton's binomial theorem, was put forward by isaac newton from 1664 to 1665. This theorem gives the integer power of the sum of two numbers, for example, an identity is expanded into the sum of similar terms. The binomial theorem can be extended to any real power, that is, the generalized binomial rule.

The significance of binomial theorem;

Newton invented calculus on the basis of binomial theorem, and its application in elementary mathematics mainly lies in some rough analysis and estimation and the proof of identities. This theorem also has its place in genetics.

The specific application scope is to infer the genotype and probability of self-bred offspring, the phenotype and probability of self-bred offspring, the phenotype distribution and probability of hybrid offspring, the performance and probability of cross-bred offspring, the sex distribution and probability of couples having children, and balance the gene or genotype frequency of the population.