Using binomial expansion to expand a binomial to the sixth power

Показать описание

👉 Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power.

The general formula for binomial expansion is given by (x + y)^n = summation from r = 0 to r = n of nCr (x)^(n-r) (y)^r. nCr gives the coefficient of the terms of the binomial expansion. The pascal triangle can be used in place of nCr to obtain the coefficient of the terms of the binomial expansion.

To expand a binomial, we continually add up the substitution of values into the general formula starting from when r = 0 to when r = n.

Organized Videos:
✅ Sequences
✅Sequences | Learn About
✅Determine The First Five Terms of The Arithmetic Sequence
✅How to Write The Formula for a Arithmetic Sequence
✅Find the nth Term of an Arithmetic Sequence
✅Find the First Five Terms of a Geometric Sequence
✅How to Write The Formula for a Geometric Sequence
✅Find the nth Term of a Geometric Sequence
✅How to Determine Arithmetic or Geometric Sequence
✅Find the First Five Terms of a Sequence
✅How to Write The Formula for a Sequence
✅Find the nth Term of a Sequence
✅How to Simplify Factorials
✅Recursive Sequences
✅Prove the Sum by Induction
✅Find the Given Term of Binomial Expansion
✅Binomial Expansion | Learn About
✅How to Expand a Binomial

Connect with me:

#sequences #brianmclogan

Рекомендации по теме

Комментарии

this dude helps me understand math equally as much as he turns me on, i learn so much from him

promisesimmons

This is great. But what if the power is a big number 26 for example! is there any fast rule to find the pascal number instead of drawing the whole triangle every time? you haven't talked much about it in your lesson while it's a very important thing. Kindly, accept my comment which aims to spread the benefit to everyone. Thank you very much for your great efforts.

Samiwadi

you are literally so helpful thank you so much

minty_macaron

Wow such a great video, understand alot and thanks alot for a such video ! :)

leeleelaka

I love your videos! They are always short and to the point. I am pretty sure your math channel is the only reason I have an A in class my math class right now.

oliviacoe

Wow such a great video, understand alot and thanks alot for a such video ! :)

leeleelaka

Using binomial expansion to expand a binomial to the sixth power

Using binomial expansion to expand a binomial to the fourth degree

Expanding Using Pascal's Triangle

Using binomial expansion to expand a binomial to the fourth power

Use binomial expansion to expand a binomial to the fourth power

Learn to expand a binomial using binomial expansion

Using binomial expansion to expand a binomial to the sixth power

How to use binomial expansion to expand a binomial to the 7th power

23 - The Binomial Theorem & Binomial Expansion - Part 1

Binomial Expansion in 4mins | Master Binomial Coefficients

Binomial Expansion Theorem

How to Use the Binomial Theorem (NancyPi)

Expand a binomial to the fifth power using pascals triangle

Expanding using the Binomial Theorem

The Binomial Theorem : Fractional Powers : Expanding (1-2x)^1/3

How to expand a binomial with coefficients

How to expand a binomial raised to the 3 power

Pre-Calculus Expand Trinomial using Binomial Theorem

How to expand (a+b)^n (Binomial Theorem with a combinatoric approach)

How to find terms of tricky Binomial Expansions

2. Expand (2x - 3y)5 using Binomial Theorem

nth term of Binomial Expansion | General Formula

Binomial Expansion (Part 1)

OCR MEI Core 1 8.10 Approximating 1.02^7 using Binomial Expansion

Using Binomial theorem to expand 1.002 raise to power 5