https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:binomial-theorem-ncert-new/x808831787a7b08a2:binomial-theorem-for-positive-integral-indices/v/binomial-theorem 2025-01-02T14:29:17.724286289Z द्विपद प्रमेय का परिचय (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 द्विपद प्रमेय का परिचय (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/mLE8WSR242k.mp4/mLE8WSR242k.mp4 795 धन पूर्णांकों लिए द्विपद प्रमेय https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:binomial-theorem-ncert-new/x808831787a7b08a2:binomial-theorem-for-positive-integral-indices/v/pascals-triangle-binomial-theorem 2020-11-13T07:10:02Z पास्कल त्रिभुज और द्विपद प्रमेय (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 पास्कल त्रिभुज और द्विपद प्रमेय (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/ginnvdbAfsY.mp4/ginnvdbAfsY.mp4 500 धन पूर्णांकों लिए द्विपद प्रमेय https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:binomial-theorem-ncert-new/x808831787a7b08a2:binomial-theorem-for-positive-integral-indices/v/binomial-theorem-and-combinatorics-intuition 2020-11-13T07:10:02Z द्विपद प्रसार और संचय 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 द्विपद प्रसार और संचय Sal explains why we use the combinatorial formula for (n choose k) to expand binomial expressions. https://cdn.kastatic.org/ka-youtube-converted/eVwye7P4aU0.mp4/eVwye7P4aU0.mp4 255 धन पूर्णांकों लिए द्विपद प्रमेय https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:binomial-theorem-ncert-new/x808831787a7b08a2:binomial-theorem-for-positive-integral-indices/v/coefficient-in-binomial-expansion 2020-11-13T07:10:01Z द्विपद प्रसार 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 द्विपद प्रसार Sal expands (3y^2+6x^3)^5 using the binomial theorem and Pascal's triangle. https://cdn.kastatic.org/ka-youtube-converted/acvJ_BzBEmw.mp4/acvJ_BzBEmw.mp4 521 धन पूर्णांकों लिए द्विपद प्रमेय https://hi.khanacademy.org/math/in-in-grade-9-ncert/xfd53e0255cd302f8:polynomials/xfd53e0255cd302f8:standard-identities/e/finding-special-products 2025-03-24T05:52:22.847271672Z बहुपद विशेष गुणनफल: पूर्ण वर्ग (Polynomial special products: perfect square) विकसित द्विपदों के विशेष गुणनफल (पूर्ण वर्ग और वर्गों का अंतर) खोजना: 1 के अलावा गुणांक वाले द्विपद; उच्च घात वाले द्विपद; 2 चर वाले द्विपद Tomer Gal exercise https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:binomial-theorem-ncert-new/x808831787a7b08a2:binomial-theorem-for-positive-integral-indices/e/binomial-theorem 2025-03-24T05:52:22.847271672Z द्विपद का प्रसार करें (Expand binomials) द्विपद व्यंजकों की पूर्णांक घातों का प्रसार करने के लिए द्विपद प्रमेय (binomial theorem) का उपयोग करें। Sid Patel exercise https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:binomial-theorem-ncert-new/x808831787a7b08a2:binomial-theorem-for-positive-integral-indices/e/terms-of-binomial-expansion 2025-03-24T05:52:22.847271672Z द्विपद प्रसार के पद (Terms of binomial expansion) द्विपद प्रसार (binomial expansion) में किसी पद का गुणांक, व्यापक पद और मध्य पद ज्ञात करना| srijan exercise