In a laboratory experiment, the concentration QQQ (in mol/L) of a chemical reagent over a specific time interval t t\,t is modelled by the function Q(t)=(43−6t)9\displaystyle Q(t) = \left(\frac{4}{3} - 6t\right)^9Q(t)=(34−6t)9. Determine the exact value of the coefficient of the term in t4 t^4\,t4 in the binomial expansion of Q(t)Q(t)Q(t), giving your answer as an integer in simplest form.
308 exam-style questions on AQA A Level Maths 1.7 D: Sequences and series, covering 1.7.1 Binomial expansion, 1.7.2 Types of sequence (A-level only), 1.7.3 Sigma notation (A-level only), 1.7.4 Arithmetic sequences and series (A-level only), 1.7.5 Geometric sequences and series (A-level only), and 1.7.6 Sequences and series in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.