Use 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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[fangirlfangirl]

thank you for explaining in 4 minutes what my teacher could not in 60 minutes

[barbapoppa]

This genuinely hit me in the face with a frying pan harder than I've ever been hit I'm my life. I've literally never been more lost in my life and I don't know why

[oliviaklimek]

this saved my test grade. thank you so much.

[meghannicole]

Thank God that girl asked about if the 1 changed, I was so worried he wasn't gonna mention it
😭

[Naym]

Thank you so much! I have my last test tomorrow before exams and no one could explain me this except you. THANK YOU

[roxyqueen]

Is this a beginner's video with the pascal's Triangle? Do you have one before this one?

[TheNebraska]

i am in a biostatistics class and this really helped be out, especially the part about Pascal's Triangle (my book did not give a reason why those numbers were in the equation) thanks a bunch!

[richardmalcolm]

Thanks another my daughter had a major Exam and it stressed everyone but your explanation helped alot

[arkeiance]

I'm literally stood in the bathroom stall during my maths lesson watching this because my teacher cannot teach, this is so helpful!

[clement]

Thanks for doing the (x+2)^4 because i was not getting it as i was only getting (x+1)^4. Even tho this vid was 2013, it helped me allot.

[TechSupportDave]

So do i understand correctly and so (a + b)^4 would also be a binomial?

[smarteducation]

Thank you so much for best teaching sir

[ezidxanmusic]

Can you do this one Expand and simplify (x + y + 1)3

[ryanio]

This was really awesome! Thanks so much Brian

[devondevon]

Not bad since 1 raised to a positive integers is always 1

[ashoksorout]

Which grade sitting front of you sir?
In india We learn this at the age of 13

[haruchan]

i already watch this video 11 times and im so confused, but when i really tried to understand it i realize that its very simple in the beginning.am i right if the question is (x+4)^3 then my answer is x^3+12x^2+8x+8?

[onwukadoris]

Pls can u solve for (1-x)9 using binomial theorem pls

[droopyeyedmofo]

I love your vids, I'm starting from algebra 1 hoping to work up to precalc or higher before I go to college. Thank you very much

[nopenotme]

God can you be my math teacher mine could not teach this to my class for the life of him 😒