Binomial Expansion Theorem Practice and Examples

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Explore the binomial expansion theorem with detailed examples and practice questions to find the first 4 terms in various expansions. Improve your understanding of binomial theorem applications with step-by-step narrated solutions.

  • Binomial expansion
  • Theorem
  • Math practice
  • Examples

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  1. Binomial expansion 2 Binomial expansion 2 Silent Teacher Intelligent Practice Your Turn Narration Use the binomial theorem to find the first 4 terms in the expansion of the following: 1 + ?10 1 + 3?6 2 ?8 Example For more videos visit mrbartonmaths.com/videos mrbartonmaths.com/videos

  2. Worked Example Your Turn Use the binomial theorem to find the first 4 terms in the expansion of 1 2?5 Use the binomial theorem to find the first 4 terms in the expansion of 1 2?6 Note that if ? is a constant like it is here, then this is the same as asking to find the first 4 terms in ascending powers of ?. Note that if ? is a constant like it is here, then this is the same as asking to find the first 4 terms in ascending powers of ?. @mrbartonmaths

  3. Use the binomial theorem to find the first 4 terms in the expansion of the following: 1 + ?10 1 + 3?6 2 ?8 3 ?7 10 2 1 2? @mrbartonmaths

  4. Use the binomial theorem to find the first 4 terms in the expansion of the following: 1 + ?10 1 + 10? + 45?2+ 120?3 1 + 18? + 135?2+ 540?3 1 + 3?6 256 1024? + 1792?2 1792?3 2 ?8 2187 5103? + 5103?2 2835?3 3 ?7 10 2 1 1024 2560? + 2880?2 1920?3 2? @mrbartonmaths

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