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

Students will be able to

Q1:

Write down the binomial expansion of (1−𝑥), up to and including the term in 𝑥, stating the range of values of 𝑥 for which the expansion is valid.

Q2:

In the binomial expansion of (1+𝑏𝑥), the coefficient of 𝑥 is −15. Find the value of the constant 𝑏 and the coefficient of 𝑥.

Q3:

Write down the first four terms of the binomial expansion of √9+𝑥, stating the range of values of 𝑥 for which the expansion is valid.

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