3.81: Product of binomial expansions: coefficients aa and bb

0606/11/O/N/22 — Question 6 · 7 marks · Binomial

The first three terms, in ascending powers of xx, in the expansion of (1x9)18(1+x3)\left(1 - \dfrac{x}{9}\right)^{18}\left(1 + \dfrac{x}{3}\right) are written in the form 1+ax+bx21 + ax + bx^{2}, where aa and bb are constants. Find the exact values of aa and bb.
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