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How to use binomial expansion to expand a binomial to the 7th power
ChannelBrian McLoganDescription from the creator
👉 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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✅How to Write The Formula for a Sequence
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✅Find the nth Term of a Sequence
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✅How to Simplify Factorials
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✅Recursive Sequences
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✅Prove the Sum by Induction
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✅Find the Given Term of Binomial Expansion
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✅Binomial Expansion | Learn About
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✅How to Expand a Binomial
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👨🏫 Current Courses on Udemy: udemy.com/user/brianmclogan2/
👨👩👧👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: freemathvideos.com/about-me/
#sequences #brianmclogan
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.
👏SUBSCRIBE to my channel here: youtube.com/user/mrbrianmclogan?sub_confirmatio…
❤️Support my channel by becoming a member: youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/jo…
🙋♂️Have questions? Ask here: forms.gle/dfR9HbCu6qpWbJdo7
🎉Follow the Community: youtube.com/user/MrBrianMcLogan/community
Organized Videos:
✅ Sequences
youtube.com/playlist?list=PL0G-Nd0V5ZMqN_DryIGV…
✅Sequences | Learn About
youtube.com/playlist?list=PL0G-Nd0V5ZMpTZQCLT2R…
✅Determine The First Five Terms of The Arithmetic Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMr7lJ91ewE…
✅How to Write The Formula for a Arithmetic Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMqX0h0kFXv…
✅Find the nth Term of an Arithmetic Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMpZTW9A9qe…
✅Find the First Five Terms of a Geometric Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMqnB_4ayZX…
✅How to Write The Formula for a Geometric Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMpPTGj_Iwh…
✅Find the nth Term of a Geometric Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMpQxNU0stx…
✅How to Determine Arithmetic or Geometric Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMpwEKZO39M…
✅Find the First Five Terms of a Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMoyXC9kD0t…
✅How to Write The Formula for a Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMproBUfaSB…
✅Find the nth Term of a Sequence
youtube.com/playlist?list=PL0G-Nd0V5ZMrvW3Ueodw…
✅How to Simplify Factorials
youtube.com/playlist?list=PL0G-Nd0V5ZMroioDLDPD…
✅Recursive Sequences
youtube.com/playlist?list=PL0G-Nd0V5ZMrJ9Hkmzt2…
✅Prove the Sum by Induction
youtube.com/playlist?list=PL0G-Nd0V5ZMqJy9R9qZ2…
✅Find the Given Term of Binomial Expansion
youtube.com/playlist?list=PL0G-Nd0V5ZMoKHwZDFGY…
✅Binomial Expansion | Learn About
youtube.com/playlist?list=PL0G-Nd0V5ZMqwmtqHrtt…
✅How to Expand a Binomial
youtube.com/playlist?list=PL0G-Nd0V5ZMrFch_Q0B0…
🗂️ Organized playlists by classes here: youtube.com/user/MrBrianMcLogan/playlists
🌐 My Website - freemathvideos.com
🎯Survive Math Class Checklist: Ten Steps to a Better Year: brianmclogan.com/email-capture-fdea604e-9ee8-43…
Connect with me:
⚡️Facebook - facebook.com/freemathvideos
⚡️Instagram - instagram.com/brianmclogan/
⚡️Twitter - twitter.com/mrbrianmclogan
⚡️Linkedin - linkedin.com/in/brian-mclogan-16b43623/
👨🏫 Current Courses on Udemy: udemy.com/user/brianmclogan2/
👨👩👧👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: freemathvideos.com/about-me/
#sequences #brianmclogan
About this tutorial
Brian McLogan published this 5:19 video tutorial on November 1, 2017. It has been watched 27,767 times on YouTube.
- Channel
- Brian McLogan
- Category
- Education
- Duration
- 5:19
- Published
- November 1, 2017
- Views
- 27,767
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