Using binomial expansion to expand a binomial to the sixth power

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11 жыл бұрын

👉 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: 14

@brianmclogan 11 жыл бұрын

you are welcome!

@promisesimmons5012 2 ай бұрын

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

@leeleelaka 10 жыл бұрын

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

@minty_macaron Жыл бұрын

you are literally so helpful thank you so much

@joshuajalandoni9292 3 жыл бұрын

thanks sir

@oliviacoe6171 8 жыл бұрын

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.

@brianmclogan 8 жыл бұрын

+Olivia Coe very happy to be able to assist you with your math, let me know if there is anything else I can do to assist you, keep up the hard work!

@Samiwadi11 Жыл бұрын

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.

@brianmclogan Жыл бұрын

Of course tell lore

@Samiwadi11 Жыл бұрын

@Brian McLogan I am facing difficulties to find the pascal number, do we have everytime to draw the whole triangle again? Is Pascal method useful for higher powers?

@elainesun6315 Жыл бұрын

@@Samiwadi11 You could use the binomial formula for super big powers. Pascal's triangle is more simple for the smaller powers though, and you could just memorize the basic triangle up to like 7 or something or google it. The binomial formula is a bit more complicated, but it works on whatever size of power.