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0606 P13 - Jun 2021 - Q4 - 6 marks
7964

(a) Find the first three non-zero terms in the expansion of

\(\left(2-\frac{x^2}{4}\right)^6\)

in ascending powers of \(x\). Simplify each term.

(b) Hence find the term independent of \(x\) in the expansion of

\(\left(2-\frac{x^2}{4}\right)^6\left(3-\frac1{x^2}\right)^2.\)

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