Using Binomial theorem (irrational terms) | Binomial Theorem | Grade 11 | Math | Khan Academy

From the creator

In this video, we'll apply binomial expansion on irrational terms. We'll consider pairs of expansions where almost half the terms cancel out because of symmetry. We'll use this technique to simplify the expressions. Finally, we'll replace the values of a, b, x, or y with appropriate irrational numbers to deduce the values of expressions given in the problem. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (https://www.khanacademy.org/math/ncert-class-11/xea4762213f311c5e:binomial-theorem-ncert-new/xea4762213f311c5e:binomial-theorem-for-positive-integral-indices/e/binomial-theorem) Timestamps: 00:00 Problem 1: Applying (a+b)^n - (a-b)^n to irrational terms 01:10 Expanding (a+b)^n - (a-b)^n and cancelling terms 03:26 Plugging values of a and b and simplifying 03:48 Problem 2: Applying (1+x)^n +(1-x)^n to irrational terms 04:31 Expanding (1+x)^n +(1-x)^n and cancelling terms 06:07 Plugging values of a and b and simplifying Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Ashish Gupta

Published 2025-02-23 · Watch on YouTube ↗
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