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0606 P13 - Jun 2018 - Q9 - 6 marks
8440

(i) Find the first \(3\) terms in the expansion of

\(\left(2x-\frac{1}{16x}\right)^8\)

in descending powers of \(x\).

(ii) Hence find the coefficient of \(x^4\) in the expansion of

\(\left(2x-\frac{1}{16x}\right)^8 \left(\frac{1}{x^2}+1\right)^2.\)

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