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

For binomial expansion, to find the coefficient of a specific term, we can establish an equivalence relationship between the general term formula of the expansion and the known condition information of the topic, which can be transformed into an equation model and solved by equation theory.

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Binomial theorem is widely used in combinatorial theory, higher power, higher arithmetic progression summation and difference methods. It is worth mentioning that binomial theorem and Yang Hui triangle are a natural numerical adventure. If binomial theorem belongs to computational mathematics, then Yang Hui triangle can be said to bring "the combination of numbers and shapes" into computational mathematics.

The coefficient problem of binomial expansion is essentially a combinatorial counting problem. Calculating with the general formula of the coefficient is called "formula calculation"; Using Yang Hui triangle to calculate is called "graphic calculation". In addition, Newton tangent method is derived from binomial, and interested friends can consult Wikipedia.

Baidu encyclopedia-binomial theorem