3.3: Binomial product: coefficients of xx and x2x^{2}

0606/12/M/J/22 — Question 5 · 8 marks

The first three terms, in ascending powers of xx, in the expansion of (1+x6)12(23x)3\left(1 + \dfrac{x}{6}\right)^{12}(2 - 3x)^{3} can be written in the form 8+px+qx28 + px + qx^{2}, where pp and qq are constants. Find the values of pp and qq.
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