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0606 P11 - Jun 2021 - Q4 - 8 marks
7943

The first 3 terms in the expansion of

\((a+x)^3\left(1-\frac{x}{3}\right)^5\)

in ascending powers of \(x\), can be written in the form

\(27+bx+cx^2,\)

where \(a\), \(b\) and \(c\) are integers. Find the values of \(a\), \(b\) and \(c\).

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