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0606 P12 - Mar 2018 - Q5 - 8 marks
8390

The first three terms, in ascending powers of \(x\), in the expansion of \((2+ax)^n\) are \(1024-1280x+bx^2\). Find the values of \(n\), \(a\), and \(b\).

Hence find the term independent of \(x\) in the expansion of \((2+ax)^n\left(x-\dfrac1x\right)^2\).

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