Lesson: Binomial Theorem: Negative and Fractional Exponents | Nagwa Lesson: Binomial Theorem: Negative and Fractional Exponents | Nagwa

Lesson: Binomial Theorem: Negative and Fractional Exponents Mathematics

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In this lesson, we will learn how to use the binomial expansion to expand binomials with negative and fractional exponents.

Lesson Plan

Students will be able to

  • expand binomial expressions of the form (1+𝑥), where 𝑛 is negative or a fraction,
  • expand binomial expressions of the form (𝑎+𝑏𝑥), where 𝑛 is negative or a fraction and 𝑎 and 𝑏 are constants,
  • find the range of values for which a binomial expansion is valid,
  • approximate values using a binomial expansion and find the percentage error of the approximation when compared to the actual value.

Lesson Explainer

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