In this iit maths video lecture we will proceed to the fifth chapter under the topic algebra. Algebra is one of the most important topics of iit jee mains maths examinations. This is one of the most detailed topics in your JEE maths curriculum. It also has lot of practical applications in future.
Our main purpose through this video lecture on JEE maths is bringing out the best results for each and every student. Apart from the understanding of basic concepts, students will also be guided with supportive illustrations. Binomial theorem is an important chapter to discuss and we have followed a step by step procedure giving detailed understanding of this topic.
Before we understand the details about this topic on JEE mains maths video lectures. We must know what is binomial. A binomial theorem is an algebraic expression like using (+) or a (-) sign. For example: using algebraic expressions such as (a+b), (ax-b) etc. Hence this equation is algebraic in nature and the expression is said to be binomial.
Generally, when the power option is small in number, then the algebraic expressions can be easily expanded.
For example: (a + b)2 = a2 + b2 + 2ab or a2 – b2 = (a + b) (a – b).
However in some situations the power increases from 20 times to 50 times. So it is difficult to derive the value of the equation then. For such complex equations binomial theorems are introduced.
IIT-JEE mains exams test your knowledge from base level to the entire conceptual understanding of the topic. This jee maths video lecture is one of those snippets.
Apart from the basics of Binomial theorem you will also understand about the Pascal’s triangle. This triangle is basically a triangular array of binomial coefficients. It is also considered as one of the most interesting pattern if numbers. In these JEE maths lectures, students will be able to get useful illustrations and in-depth understanding of the topic.
The formula for a binomial theorem stands as:
It also implies that with the help of binomial theorem it is easy to expand any power of (a+b).
Binomial theorem has wide implications and is a very big chapter to understand in brief. It is required to be understood in details. Also you need to follow each and every concept throughout this topic to have a clear insight of the topic.