Using binomial expansion to expand a binomial to the fourth power

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👉 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.
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Пікірлер: 27

@thinhphan3816 5 жыл бұрын

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

@nextdoortutor Жыл бұрын

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!

@moyinoluwaoni7440 3 жыл бұрын

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

@simonc2751 5 жыл бұрын

great method , thank you

@rdx3127 5 жыл бұрын

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

@kevinhermi9861 3 жыл бұрын

Be a good dad one-day

@spanish_boiya.g9920 Жыл бұрын

@@kevinhermi9861 w comment

@phiwamahlalela5952 Жыл бұрын

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

@techtuberabc7016 5 жыл бұрын

thank you very much sir

@moseschazama7430 Жыл бұрын

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

@HigherEducationAwakening 3 жыл бұрын

Much thanks

@aiditan2338 4 жыл бұрын

best teacher

@randynguyen2020 6 жыл бұрын

Your're my savior

@brianmclogan 6 жыл бұрын

happy to be there for you!

@postwhateverwhenever 5 жыл бұрын

thank youuu

@harryyu3430 4 жыл бұрын

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

@jaimecruz-loya1423 9 жыл бұрын

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

@brianmclogan 9 жыл бұрын

Jaime Cruz-Loya yes you can use either way, whichever makes more sense to you I would say would be the best

@ceciliaashuulu5717 Жыл бұрын

I need more time to understand this

@harryyu3430 4 жыл бұрын

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

@NateAustin19 Жыл бұрын

no. you will see if you include the minus sign with the term in the expansion. the signs alternate between plus and minus in the fully expanded result