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1.4 Sequences and Series - The Binomial Theorem

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Question 84
a.

Find the first 4 terms, in ascending powers of xxx, of the binomial expansion of

(3−x9)9 \left(3 - \frac{x}{9}\right)^9 (3−9x​)9

giving each term in its simplest form.

[4]
b.

Hence find the constant term in the series expansion of

(2+1x)2(3−x9)9 \left(2 + \frac{1}{x}\right)^2 \left(3 - \frac{x}{9}\right)^9 (2+x1​)2(3−9x​)9
[4]

1.4 Sequences and Series - The Binomial Theorem Questions

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