JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Binomial Expression

Binomial Expression

Category : JEE Main & Advanced

An algebraic expression consisting of two terms with \[+ve\] or \[-ve\] sign between them is called a binomial expression.

For example : \[(a+b),\,(2x-3y),\,\left( \frac{p}{{{x}^{2}}}-\frac{q}{{{x}^{4}}} \right)\,,\,\left( \frac{1}{x}+\frac{4}{{{y}^{3}}} \right)\] etc.

Binomial Theorem for Positive Integral Index

Other Topics

Binomial Expression
Binomial Theorem for Positive Integral Index
Some Important Expansions
General Term
Independent Term or Constant Term
Number of Terms In The Expansion of \[{{(a+b+c)}^{n}}\] and \[{{(a+b+c+d)}^{n}}\]
Middle Term
To Determine a Particular Term in the Expansion
Greatest Term and Greatest Coefficient
Properties of Binomial Coefficients
Use of Differentiation and Integration in Binomial Theorem
An Important Theorem
Multinomial Theorem (for Positive Integral Index)
Binomial Theorem for any Index
Three / Four Consecutive Terms or Coefficients
Some Important Points
First Principle of Mathematical Induction
Second Principle of Mathematical Induction
Divisibility Problems