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).
Practise Edexcel A Level Maths 4.2 Expanding (a + bx)^n with exam-style questions for A Level Maths. 99 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.