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Binomial Expansion Using Pascal's Triangle | Pre-Calculus
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Pre-Calculus
Binomial Expansion Using Pascal's Triangle
This video shows how to expand a binomial using Pascal's triangle. Each expansion is a polynomial. There are some patterns to be noted.
1. There is one more term than the power of the exponent, n. That is, there are terms in the expansion of (a + b)n.
2. In each term, the sum of the exponents is n, the power to which the binomial is raised.
3. The exponents of a start with n, the power of the binomial, and decrease to 0. The last term has no factor of a. The first term has no factor of b, so powers of b start with 0 and increase to n.
4. The coefficients start at 1 and increase through certain values about "half"-way and then decrease through these same values back to 1.
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Binomial Expansion Using Pascal's Triangle
This video shows how to expand a binomial using Pascal's triangle. Each expansion is a polynomial. There are some patterns to be noted.
1. There is one more term than the power of the exponent, n. That is, there are terms in the expansion of (a + b)n.
2. In each term, the sum of the exponents is n, the power to which the binomial is raised.
3. The exponents of a start with n, the power of the binomial, and decrease to 0. The last term has no factor of a. The first term has no factor of b, so powers of b start with 0 and increase to n.
4. The coefficients start at 1 and increase through certain values about "half"-way and then decrease through these same values back to 1.
Filipino Math Tutorial Videos
General Mathematics Playlist
Statistics and Probability Playlist
Pre-Calculus Playlist
Calculus Playlist
For more updates, you can also follow my Facebook Page:
Join this channel to get access to perks:
For Business and Collaboration:
Please don't forget to like, share, and subscribe!
Thank You Guys!
#BinomialExpansion #PascalsTriangle #MathTeacher #ProfD
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