JEE Advanced Binomial Theorem Important Questions

The binomial theorem states that any positive integer (say n):

The sum of any two integers (say a and b), raised to the power of n, can be expressed as the sum of (n+1) terms as follows.

\[\sum_{k=0}^{n}a^{n-k} b^{k}=(a + b)^{n}\]

The reason behind using this formula can be explained by some expansion patterns. Let us consider a polynomial (a+b).

• On multiplying this polynomial (a+b) by itself, that is,

(a+b)*(a+b), the result so obtained is as follows.

\[(a^{2} + b^{2} + 2ab)\]

• On multiplying the resulting polynomial by (a+b), the following result is obtained.

\[(a^{2} + b^{2} + 2ab) * (a + b) =  a^{3} + 3a^{2}b + 3ab^{2} + b^{3}\]

• On multiplying this above result by (a+b), the following polynomial is obtained.

\[(a^{3} + 3a^{2}b + 3ab^{2} + b^{3}) * (a + b) = a^{4} + 4a^{3}b + 6a^{2}b^{2} + 4ab^{3} + b^{4}\]

The same results of polynomial multiplication are obtained when the formula of the binomial theorem is used for the same. For a better understanding download the below PDF for free and refer to the solved binomial theorem JEE Advanced important questions.

Binomial Theorem Important Question

A very important and crucial Topic for the JEE Advanced 2025 Mathematics syllabus,  a very basic introduction, and some basic sums of Binomial Theorem is also a part of the Class 8 CBSE syllabus. The complex understanding of the Binomial Theorem becomes easy to understand once students get familiar with the main derivation which can be explained with the help of certain expansion patterns.

In order to get familiar with, and understand the meaning of Binomial Theorem, the JEE Advanced 2025 Question Paper, along with the solutions should be downloaded from Vedantu.com. The download is easily accessible from the Vedantu website and is available for a free download in PDF Format. This will enable students to prepare for the JEE Advanced examination to get a clearer understanding of the Binomial Theorem and its formulas. In the JEE Advanced Examination, Binomial Theorem is a part of Algebra, an algebraic expression that consists of two different terms, and is an important chapter for the JEE Advanced examination.

To understand the formulas that constitute the Binomial Theorem, it is often very useful to practice the previous years’ Binomial Theorem questions of JEE Advanced that are available for a PDF format download from the Vedantu portal. 

The Important Questions that are available along with very well-researched solutions on the Vedantu portal are very helpful for students who are preparing for the JEE Advanced.