0606 P13 - Jun 2023 - Q5 - 6 marks
7677
(a) Find the first three terms in the expansion of
\(\left(x^2-\frac4{x^2}\right)^{10}\)
in descending powers of \(x\). Give each term in its simplest form.
(b) Hence find the coefficient of \(x^{16}\) in the expansion of
\(\left(x^2-\frac4{x^2}\right)^{10}\left(x^2+\frac2{x^2}\right)^2.\)
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