Using binomial expansion to expand a binomial to the fourth power

👉 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

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[nextdoortutor]

You know a professor is an absolute legend when he can break the problem down into obvious steps. Love this professor! Keep up the great work!

[thinhphan]

screw my pre-calc teacher, you’ve got a new sub

[rdx]

2 things. 1. i wish i had a dad. 2. i wish u were my fr tho youre actually helping me pass me 110 course. Real homie right here

[moyinoluwaoni]

Thank you so much Sir. You're my favourite math teacher. I understand it so much better now.

[phiwamahlalela]

Thank u so much sir . I understand this method better than the one i learnt in class. Im really relieved now.

[moseschazama]

I would like to know how to get factors to be used when forming pascal's triangle

[harryyu]

If that is minus sign in bracket ? What gonna be ? All sign will be minus ?

[gregocelt]

that is the idiot-proof method, beautiful

[harryyu]

If that is minus sign in the bracket ? What gonna be ? All sign will be minus ?

[Reqify]

Me, has something that I couldn't learn in 2022 from my teacher,
Also me, learning it from something that was made in 2013.

[jaimecruz-loya]

Hi Mr.Mclogan, I am having trouble understanding this stuff. My professor taught this a completely different way. He uses the binomial coefficient. He writes out each term in the binomial with the first descending and the second ascending and then multiplies (I assume) that's where I'm completely lost. I feel like just going with your strategy because it makes a lot more sense but even then I'm a little unsure. Do those general terms from Pascal's trianlge always work, are they always the same?
Thanks in advance,
Jaime Cruz-Loya

[xdeelo]

Thanks 💕 it was hard to me but you make it easy for us 🤍