3.70: Binomial expansion coefficients

0606/23/O/N/22 — Question 6 · 6 marks

The first four terms in ascending powers of xx in the expansion of (3+ax)4(3 + ax)^{4} can be written as 81+bx+cx2+23x3+81 + bx + cx^{2} + \dfrac{2}{3}x^{3} + \cdots. Find aa, bb and cc.
[6]