The concentration C C\,C of a specific reagent in a chemical solution depends on the temperature fluctuation τ\tauτ (in degrees Celsius). For small fluctuations near a reference point, the relationship is modeled by the function:
C(τ)=(5−25τ)7 C(\tau) = \left(5 - \frac{2}{5}\tau\right)^7 C(τ)=(5−52τ)7Find the first four terms, in ascending powers of τ\tauτ, of the binomial expansion of C(τ)C(\tau)C(τ). Give each coefficient as an integer.
144 exam-style questions on AQA A Level Maths 1.7.1 Binomial expansion. Each one has a worked solution and a mark scheme showing where the marks go.