Using binomial expansion to expand a binomial to the sixth 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.
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Видео Using binomial expansion to expand a binomial to the sixth power канала Brian McLogan
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: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1
❤️Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/join
🙋♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7
🎉Follow the Community: https://www.youtube.com/user/MrBrianMcLogan/community
Organized Videos:
✅ Sequences
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqN_DryIGVJRY3RPNXYFH1M
✅Sequences | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpTZQCLT2RXIARj7ytJ-EBS
✅Determine The First Five Terms of The Arithmetic Sequence
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr7lJ91ewEWzBehnZgReG5w
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https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpQxNU0stxlxgHLxYY-Rq1b
✅How to Determine Arithmetic or Geometric Sequence
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpwEKZO39MsWfkLZHbE_4wW
✅Find the First Five Terms of a Sequence
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoyXC9kD0ttLJmTYInoOON3
✅How to Write The Formula for a Sequence
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMproBUfaSB2cwiWF2bc8lE8
✅Find the nth Term of a Sequence
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrvW3UeodwSIm1fhj7Tc2Lz
✅How to Simplify Factorials
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMroioDLDPDAkklyO3ZarFYQ
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🗂️ Organized playlists by classes here: https://www.youtube.com/user/MrBrianMcLogan/playlists
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👨🏫 Current Courses on Udemy: https://www.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: https://www.freemathvideos.com/about-me/
#sequences #brianmclogan
Видео Using binomial expansion to expand a binomial to the sixth power канала Brian McLogan
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