Class 12 Binomial Theorem Notes | Exercise - 2.2 for 2081

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  • Опубліковано 19 вер 2024
  • Class 12 Mathematics Binomial Theorem Notes has been updated according to the latest syllabus of 2080. It means the solutions of Binomial Theorem chapter provided in this channel contains all the new exercise that has recently been updated. Now you don’t need to go anywhere searching for the notes of binomial theorem because we are here to serve you.
    Chapter - 2
    Binomial Theorem
    The Binomial Theorem is a mathematical concept used to expand expressions like (a + b)^n. It allows for the simplification of such expressions into a sum of terms with specific coefficients. This theorem is essential in algebra and has applications in various fields like probability and combinatorics.
    The general form of the Binomial Theorem is given by: (a + b)^n = C(n, 0) * a^n * b^0 + C(n, 1) * a^(n-1) * b^1 + … + C(n, r) * a^(n-r) * b^r + … + C(n, n) * a^0 * b^n
    Here, C(n, r) represents the binomial coefficient, also known as “n choose r”, which calculates the number of ways to choose ‘r’ items from a set of ‘n’ items.
    Key points
    Formula Application: The Binomial Theorem formula is applied to expand binomial expressions by raising the binomial (a + b) to a given power ‘n’.
    Term Calculation: Each term in the expansion corresponds to a specific power of ‘a’ and ‘b’, with coefficients determined by the binomial coefficients.
    Binomial Coefficients: The binomial coefficients, denoted as C(n, r) or “n choose r”, play a crucial role in determining the coefficients of each term in the expansion.
    General Form: The expanded form of a binomial expression consists of a series of terms, each representing a combination of powers of ‘a’ and ‘b’, multiplied by the corresponding coefficients.
    Applications: Understanding the expansion of binomial expressions is essential for various mathematical applications, including algebraic manipulations, series expansions, and probability calculations.
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КОМЕНТАРІ • 3

  • @ranaremu3475
    @ranaremu3475 10 днів тому

    Trigonometry ko pani sir !

    • @Mathreveal
      @Mathreveal  10 днів тому

      Hi @Ranaremu3475!
      Thanks for your suggestion about the trigonometry video.
      I appreciate your interest!
      First, we’ll upload a video on inverse matrices.
      After that, I promise we’ll get to the trigonometry content. So please be patient for just a days.
      I think you’ll really enjoy the upcoming videos!
      Keep learning and stay Safe !

    • @ranaremu3475
      @ranaremu3475 5 днів тому

      Ok sir 😊