An industrial coolant system models the rate of heat dissipation, RRR (in kW), using the function R(w)=(12w−3)6\displaystyle R(w) = \left( \frac{1}{2}w - 3 \right)^6R(w)=(21w−3)6, where w w\,w is the flow rate of the liquid.
Determine the constant term in the binomial expansion of R(w)R(w)R(w).
408 exam-style questions on Edexcel A Level Maths Binomial Expansion, covering 4.1 Expanding (1 + x)^n, 4.2 Expanding (a + bx)^n, and 4.3 Using Partial Fractions. Each one has a worked solution and a mark scheme showing where the marks go.