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2:04
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WONDER DAARA MATHEMATICS ONLINE
Pascal's Triangle and the Binomial theorem| Binomial coefficients| Grade 12 math British Columbia
Pascal's Triangle and the Binomial theorem are th the main concepts that will be discussed in this lesson on the Binomial theorem. The binomial expansion of (1-x)^6 was done using Pascal's Triangle. Binomial coefficients were extracted from Pascal's Triangle. These were used to derive a binomial theorem formula that was used to expand the ...
2.1K views
2 months ago
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Formule du binôme de Newton Pour tout entier naturel n : (a b)^n = \\sum_{k=0}^{n} \\binom{n}{k} a^{\\,n-k} b^{\\,k} où \\binom{n}{k} = \\frac{n!}{k!(n-k)!} s’appelle le coefficient binomial. ✏️ Exemples simples 1️⃣ Développement de (a b)^2 (a b)^2 = a^2 2ab b^2 2️⃣ Développement de (a b)^3 (a b)^3 = a^3 3a^2b 3ab^2 b^3 3️⃣ Exemple avec des nombres (x 2)^3 = x^3 6x^2 12x 8
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