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Binomial Expansion

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Question 23
a.

Expand (1+4x)−2(1+4x)^{-2}(1+4x)−2 in ascending powers of x x\,x up to and including x3x^3x3

[4]
b.

Write down the range of values of x x\,x for which the expansion is valid.

[1]
c.

Use your expansion to find the expansion of 3x−1(1+4x)2\displaystyle \frac{3x-1}{(1+4x)^2}(1+4x)23x−1​ up to and including x3x^3x3

[3]

Binomial Expansion Questions

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