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0606 P11 - Nov 2022 - Q6 - 7 marks
7852

The first three terms, in ascending powers of \(x\), in the expansion of

\(\left(1-\frac{2x}{9}\right)^{18}(1+3x)^3\)

are written in the form

\(1+ax+bx^2,\)

where \(a\) and \(b\) are constants. Find the exact values of \(a\) and \(b\).

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