https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:series/x9e81a4f98389efdf:binomial/v/binomial-theorem 2021-04-21T12:01:44Z Intro to the Binomial Theorem The Binomial theorem tells us how to expand expressions of the form (a+b)ⁿ, for example, (x+y)⁷. The larger the power is, the harder it is to expand expressions like this directly. But with the Binomial theorem, the process is relatively fast! Sal Khan video https://cdn.kastatic.org/googleusercontent/kOuY6Y77kqIalsfcglJc-Qd9QbrmjQOc74DS8zlSU9DAFMtyH2rjzDFCS_EEz9sOlKXNrzzti6zXNMfwphMAq3nK Intro to the Binomial Theorem The Binomial theorem tells us how to expand expressions of the form (a+b)ⁿ, for example, (x+y)⁷. The larger the power is, the harder it is to expand expressions like this directly. But with the Binomial theorem, the process is relatively fast! https://cdn.kastatic.org/ka-youtube-converted/iPwrDWQ7hPc.mp4/iPwrDWQ7hPc.mp4 795 Binomial Theorem https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:series/x9e81a4f98389efdf:binomial/v/pascals-triangle-binomial-theorem 2021-04-21T12:01:45Z Pascal's triangle and binomial expansion Sal introduces Pascal's triangle, and shows how we can use it to figure out the coefficients in binomial expansions. Sal Khan video https://cdn.kastatic.org/googleusercontent/lacyi4dbPLQUrYTQAzYXlY-xcQQw2_pc0i3O8SkGe7OQUqSw24MtodY-jRw9RVLNillIxZmNvvqgj552-9WuyVDx Pascal's triangle and binomial expansion Sal introduces Pascal's triangle, and shows how we can use it to figure out the coefficients in binomial expansions. https://cdn.kastatic.org/ka-youtube-converted/v9Evg2tBdRk.mp4/v9Evg2tBdRk.mp4 500 Binomial Theorem https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:series/x9e81a4f98389efdf:binomial/v/binomial-theorem-and-combinatorics-intuition 2021-04-21T12:01:43Z Binomial expansion & combinatorics Sal explains why we use the combinatorial formula for (n choose k) to expand binomial expressions. Sal Khan video https://cdn.kastatic.org/googleusercontent/D1PjDl9wjlqpT3vHEPGoLFgPAf0_VwzqIKHngRU9EIEmSKjN76hu9dSu8aKDCScq2gSZA7Rrr1rOdRFH1mT17eC2 Binomial expansion & combinatorics Sal explains why we use the combinatorial formula for (n choose k) to expand binomial expressions. https://cdn.kastatic.org/ka-youtube-converted/_hrN4rVCOfI.mp4/_hrN4rVCOfI.mp4 255 Binomial Theorem https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:series/x9e81a4f98389efdf:binomial/v/coefficient-in-binomial-expansion 2021-04-21T12:01:44Z Expanding binomials Sal expands (3y^2+6x^3)^5 using the binomial theorem and Pascal's triangle. Sal Khan video https://cdn.kastatic.org/googleusercontent/uoGyQvj-n7uQnItpSJdcP4Zskzl_4E_awYSy7vm51dhwb1Nry2jkS52JE_Ta1ykXxoO10ZWuuTlhscI91dcFR-0l_g Expanding binomials Sal expands (3y^2+6x^3)^5 using the binomial theorem and Pascal's triangle. https://cdn.kastatic.org/ka-youtube-converted/ojFuf9RYmzI.mp4/ojFuf9RYmzI.mp4 521 Binomial Theorem https://www.khanacademy.org/math/ka-revision-class-11-math/x64e5efbb29d87707:week-2-revision-ncert-class-11-math/x64e5efbb29d87707:binomial-theorem-revision-ncert-class-11-math/e/revision-binomial-theorem-ncert-class-11-math 2026-04-08T00:16:02.937952483Z Revision Binomial Theorem Practice problems for revision of Binomial Theorem. Satya Swaroop exercise