Binomial Expansion Theorem
Learn how to use the binomial expansions theorem to expand a binomial and find any term or coefficient in this free math video by Mario's Math Tutoring. We will use Pascal's triangle as well as combinations and factorials to help expand a binomial to a power.
00:00 Intro
0:25 What is Pascal's Triangle
1:05 Where the Terms in Pascal's Triangle Come From Using nCr
1:48 Formula for Combinations (nCr)
2:16 Example 1 Expand (x+2)^4
2:25 Go Down to the 4th Row of Pascal's Triangle for Coefficients
2:50 First Term Goes in Descending Order
3:03 Second Term Goes in Ascending Order
3:21 Simplify
4:15 Example 2 Expand (2x-3y)^5
7:30 Example 3 Finding the 3rd Term in (5x+2)^7
8:40 Formula for Finding a Specific Term
10:00 How to Simplify Factorials
10:42 How to Find the Coefficient of (x^2)(y^5) in (x+4y)^7
Related Videos:
TI84 TI83 Pascal's Triangle & Binomial Expansion
https://youtu.be/k9xN6Krv7yI
Binomial Expansion Finding a Specific Term
https://youtu.be/Y32hGegCoPI
Binomial Expansion Finding the Coefficient of a Term
https://youtu.be/XPmrvRiTruw
Looking to raise your math score on the ACT and new SAT?
Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at
http://mariosmathtutoring.teachable.com
For online 1-to-1 tutoring or more information about me see my website at:
http://www.mariosmathtutoring.com
* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)
http://www.mariosmathtutoring.com/free-math-videos.html
Видео Binomial Expansion Theorem канала Mario's Math Tutoring
00:00 Intro
0:25 What is Pascal's Triangle
1:05 Where the Terms in Pascal's Triangle Come From Using nCr
1:48 Formula for Combinations (nCr)
2:16 Example 1 Expand (x+2)^4
2:25 Go Down to the 4th Row of Pascal's Triangle for Coefficients
2:50 First Term Goes in Descending Order
3:03 Second Term Goes in Ascending Order
3:21 Simplify
4:15 Example 2 Expand (2x-3y)^5
7:30 Example 3 Finding the 3rd Term in (5x+2)^7
8:40 Formula for Finding a Specific Term
10:00 How to Simplify Factorials
10:42 How to Find the Coefficient of (x^2)(y^5) in (x+4y)^7
Related Videos:
TI84 TI83 Pascal's Triangle & Binomial Expansion
https://youtu.be/k9xN6Krv7yI
Binomial Expansion Finding a Specific Term
https://youtu.be/Y32hGegCoPI
Binomial Expansion Finding the Coefficient of a Term
https://youtu.be/XPmrvRiTruw
Looking to raise your math score on the ACT and new SAT?
Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at
http://mariosmathtutoring.teachable.com
For online 1-to-1 tutoring or more information about me see my website at:
http://www.mariosmathtutoring.com
* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)
http://www.mariosmathtutoring.com/free-math-videos.html
Видео Binomial Expansion Theorem канала Mario's Math Tutoring
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