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How to expand (a+b)^n (Binomial Theorem with a combinatoric approach)

blackpenredpen 121,421 6 years ago
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How to expand (a+b)^n? Well, we can use the binomial theorem and let me show you how! This video also features Pascal's Triangle, a combinatoric argument, and how to find the coefficient of a term in an expansion. Coming up next, we will an Extreme Algebra part 2, the Generalized Binomial Theorem! Binomial and trinomial theorem: Part 1: https://youtu.be/cvhyJT9c0ac part 2 (ft. best friend): https://youtu.be/qkvmEe9SYSg part 3: https://youtu.be/xrE3rgkBTPA Bonus part: coming soon 0:00 (a+b)^2=a^2+b^2? 7:53 explaining the binomial coefficient 13:52 finding the coefficient of x^2y^3 in (2x+y)^5 Check out my T-shirts & Hoodies: https://teespring.com/stores/blackpenredpen Patreon https://www.patreon.com/blackpenredpen

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