A mechanical engineer models the internal pressure PPP of a cylinder during a specific stroke using the expression P(t)=(12t−3)5P(t) = \left(\frac{1}{2}t - 3\right)^5P(t)=(21t−3)5, where ttt is the time in milliseconds. Determine the constant term in the binomial expansion of P(t)P(t)P(t).
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.