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
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