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Free Binomial Expansion Calculator - Expand binomials using the binomial expansion method step-by-step
10 Οκτ 2024 · About MathWorld; MathWorld Classroom; Contribute; MathWorld Book; wolfram.com; 13,205 Entries; Last Updated: Thu Oct 10 2024 ©1999–2024 Wolfram Research, Inc.
10 Οκτ 2024 · Even more confusingly a number of these (and other) related results are variously known as the binomial formula, binomial expansion, and binomial identity, and the identity itself is sometimes simply called the "binomial series" rather than "binomial theorem."
Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n = n ∑ k=0nCk⋅(an−kbk) (a + b) n = ∑ k = 0 n. n C k ⋅ (a n - k b k). 4 ∑ k=0 4! (4− k)!k! ⋅(x)4−k ⋅(−3)k ∑ k = 0 4 4! (4 - k)! k! ⋅ (x) 4 - k ⋅ (- 3) k. Expand the summation.
