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).
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.