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Cambridge AS & A Level Mathematics

3.1dThe binomial expansion for a rational index

The binomial expansion for a rational index in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
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Learning objectives

What the syllabus expects you to be able to do.

  1. 3.1.5Paper 3: use the expansion of (1 + x)ⁿ for rational n and |x| < 1.

Lessons

  • The binomial expansion for a rational index

    45 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

The binomial expansion for a rational index: sample question

1 mark

For which values of xx is the expansion of (1−3x)12(1 - 3x)^{\frac{1}{2}} in ascending powers of xx valid?

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