# Binomial theorem – Videos

### List of Video Titles

#### Click the video titles below, to be directed to the video.

Prologue to Binomial Theorem (Arrangements)

Basic Binomial Expansions

Binomial Expansion: Simple Examples

Binomial Theorem & Pascal’s Triangle

Binomial Theorem: Introductory Exercises

Tricky Permutations & Combinations Question

Proving Binomial Identities

Finite Series w/ Binomial Coefficients: Substitution

Finite Series w/ Binomial Coefficients: Differentiation

Finite Series w/ Binomial Coefficients: Integration (1 of 2)

Finite Series w/ Binomial Coefficients: Integration (2 of 2)

Binomial Identities: Pascal Example

Greatest Coefficient in Binomial Expansion

Evaluating Specific Binomial Coefficients

Evaluating Coefficients From Two Expansions

Proving Binomial Identities: Comparing Coefficients

Probability Question: With & Without Binomial

Pascal’s Identity (1 of 2)

Pascal’s Identity (2 of 2)

Expressing Terms in a Generalised Binomial Expansion

The Properties of Pascal’s Triangle in nCr Notation

Introduction to nCr Notation

How are Binomial Coefficients related to Pascal’s Triangle?

The Weirdness of Pascal’s Triangle

An ingenious & unexpected proof of the Binomial Theorem (1 of 2: Prologue)

An ingenious & unexpected proof of the Binomial Theorem (2 of 2: Proof)

Demonstrating the Binomial Theorem from Pascal’s Triangle

Sierpinski’s Triangle

Factorials

Determining & Calculating the Greatest Term (example question)

Finding & Evaluating the Greatest Coefficient (example question)

Relating Consecutive Coefficients (and finding the greatest one)

What is the Greatest Coefficient (and why do we care about it)?

Binomial Identity with Even Coefficients Only?

Binomial / Permutations & Combinations Proof (1 of 2)

Binomial / Permutations & Combinations Proof (2 of 2)

Recognising & Substituting Part of a Binomial Expansion

Simplifying Products w/ Factorial Notation

What power of 2 is a factor of “100!”?

Identifying the Constant Term in a Binomial Expansion

Expanding Binomials Involving Substitution

Separating Rational & Irrational Components in Binomial Expansion

Stating the Binomial Theorem w/ Factorial Notation

Developing the Binomial Theorem w/ Pascal’s Triangle

Introduction to Factorial Notation (1 of 2: Why use “!”?)

Introduction to Factorial Notation (2 of 2: How to simplify factorial terms)

Shorthand Notation for nCr

Approximating a Decimal Expansion with Binomial Theorem

Why do all rows of Pascal’s triangle add to powers of 2?

Sigma Notation & Properties of Pascal’s Triangle

nCr Notation

Why Notation & Terminology Are Awesome

Binomial Expansions – Simple Example

Binomial Coefficients & Pascal’s Triangle

Evaluating Specific Binomial Coefficients (Exam Questions)

Summing Binomial Coefficients (Exam Question)

Binomial Coefficients Proof Question

*Note: Videos are from misterwootube.com

## Motion – Projectile Polynomials, Simple harmonic – Videos

List of Video Titles Click the video titles below, to be directed to the video. Functions of Displacement:…

## Induction – Videos

List of Video Titles Click the video titles below, to be directed to the video. Introduction to Mathematical…

## Inverse functions and inverse trigonometric functions – Videos

List of Video Titles Click the video titles below, to be directed to the video. Introduction to Inverse…

## Polynomials – Videos

List of Video Titles Click the video titles below, to be directed to the video. Prologue to Polynomials…