# Binomial Expansions

The sum $a+b$ is called a binomial as it contains two terms. Any expression of the form $(a+b)^n$ is called a power of a binomial. All binomials raised to a power can be expanded using the same general principles. In this lesson, therefore, we consider the expansion of the general expression $(a+b)^n$ where \$n \in […]

# Binomial Expansion | Binomial Theorem

Binomial Expansion is based on two terms, that is binomial.Any expression of the form $(a+b)^n$ is called the power of a binomial.All binomials raised to a power can be expanded using the same general principles. \( \begin{aligned} \displaystyle(a+b)^1 &= a+b \\(a+b)^2 &= (a+b)(a+b) \\&= a^2+2ab+b^2 \\(a+b)^3 &= (a+b)(a^2+2ab+b^2) \\&= a^3+3a^2b+3ab^2+b^3 \\(a+b)^4 &= (a+b)(a^3+3a^2b+3ab^2+b^3) […]

# Integrating Binomial Expansions

Integrating Binomial Expansion is being used for evaluating certain series or expansions by substituting particular values after integrating binomial expansion. It is important to find a suitable number to substitute for finding the integral constant if done in indefinite integral. If the definite integral is used, then it is important to set the upper and […]