# Tag Archives: Binomial Expansion # Bernoulli Trials and Sequences of Binomial Probability – An Ultimate Guide

Bernoulli Trial is an experiment in which the outcome is either a SUCCESS or a FAILURE. SUCCESS means that you are getting the result that you’re counting, but it does not necessarily mean the traditional meaning of triumph or prosperity. The probability of each outcome is independent of the results of the previous trial. The […] # 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 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 used to evaluate 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 an indefinite integral. If the definite integral is used, it is important to set the upper and lower […]