What is the Binomial Theorem?


Binomial theorem, also known as Binomial expansion is an outcome of expanding the powers or exponents of binomial or addition of two terms. In Binomial expansion, the coefficient of terms is known as Binomial coefficients . The binomial theorem and its related concepts are used to prove results and solve problems like algebra, calculus, and several other topics of Mathematics.

Binomial Theorem Statement

Let us consider (n) as a positive integer and the variables ‘a and a’ as real numbers, or complex numbers, or polynomials. 

In the expansion of (a + b)ⁿ, the coefficient ak bn-k  in the kth term is equivalent to , where

 =   n!(n – k!)k!

(a + b)ⁿ  = k = 0n   a™⁻ 

Binomial Theorem Special Case

Binomial theorem special cases which are common and familiar to the students of basic algebra includes the following:

(m + n)1 m + n
(m + n)2 m2 + n2 + 2mn
(m + n)3 m3 + 3m2n + 3mn2 + n3
(m + n)4 m4 + 4mn3 + 6m2n2 + 4mn  + n4

Maths Online Class

Online education is a major challenges for the student in the present scenario. It is considered to be an effective alternative to traditional education, especially in a pandemic situation when classroom sessions are being disturbed for several reasons. 

Students think Mathematics might be not very useful for those who are not used to online mode because it is a subject that demands a comprehensive understanding of each and every concept and regular practice to manage the assignments and examination. Therefore, it is a challenge for different learning management institutions to conduct online classes that give proper guidance to students to help them understand the mathematical concepts clearly. 

Cuemaths Online class for Mathematics is created that makes the studies learning Mathematics interesting and effective. It enables students and teachers to interact using the virtual mode without meeting face to face. The Cuemaths math online classes are structured considering the requirement of students of different standards and provide valuable learning through the application of simple but effective methodologies. 

Students looking for notes and videos on Binomial theorem can anytime visit Cuemaths website and clear their concepts and doubts related to the topic. 

The online learning apps are also offered by Cuemath that enables both the students and teachers easy access to the online platforms through some easy digital tools and techniques. The audio, video, and conference facilities help students to interact and share their feedback just like  they share in live classroom sessions. The mathematics online classes are conducted by professionals that help students to learn at their convenience and ability without any pressure. The students can easily get their doubts clarified from teachers and also teachers make an effort to help the students to overcome their limitations and improve their analytical skills as required.

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