23 - The Binomial Theorem & Binomial Expansion - Part 1

In this lesson, you will learn what the binomial theorem is, why it is important, and how we can use the binomial theorem to expand binomials that are raised to any power (exponent). The binomial theorem is a formula that allows us to raise any binomial to any exponent (power) and calculate all terms of the binomial expansion. It works by calculating the results of pascal's triangle which are then used as the coefficient for the binomial expansion. The binomial expansion is very important in math but also in physics and engineering. We can often approximate a binomial raised to a power by taking only the first few terms of the expansion which can help us perform more complex calculations in calculus, physics, and other subjects.

[lauraash]

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[aqsababbar]

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[justrolly]

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[brazhell]

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[Lil-lcdi]

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[jeffreychavey]

I’m way past school age but your lessons bestow the confidence necessary to think more critically at work. Thank you

[letsthinkit]

I'm in grade 10 - and we were taught (a + b)^2 - I asked my teacher a question before learning the binomial theorem - "Ms. can you tell me what (a + b)^n or any large power should be" - she said "start learning the binomial theorem". And now I'm in love with this beautiful and actually pretty easy theorem.

[youcannotspeaktomeanyhow]

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[GasMask-vk]

Thank you sir, my first day of calculus classes in collage and this video helped me allot with binomials.

[craigshub]

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[kitsurubami]

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[RoscoesRiffs]

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[joelm.a.]

Thanks man!!!
You are the only one professor that make me understand these theorems about sequences
You are great!!!!

[amb.charleynt]

I enjoyed and understood the class so much.
thanks

[pematashi]

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[muhammedhabib]

May God bless you for sharing your knowledge with us

[abdullahswaleh]

Honestly, in 2008/2009 my teacher didn't explain this theory to me as clear as you've done... what a great teacher you're 👏❤

[RoscoesRiffs]

PERFECT! The textbooks I have for Algebra II treat this subect as if everybody already knows how to do it, and I was lost immediately. Thank you so much. I'm going to work these problems a few times and then move to your next class. Liked. Subscribed. 😎

[adalina-jtcr]

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[wakefieldyorkshire]

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