Find the first four terms, in ascending powers of xxx, of the binomial expansion of (1−14x)8\left(1 - \frac{1}{4}x\right)^8(1−41x)8 giving each term in simplest form.
Hence find the coefficient of x3x^3x3 in the expansion of (4x+5)(1−14x)8(4x + 5)\left(1 - \frac{1}{4}x\right)^8(4x+5)(1−41x)8 giving the answer in simplest form.
Practise Edexcel A Level Maths 4.1 Expanding (1 + x)^n with exam-style questions for A Level Maths. 12 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.