Expand (1+3x)−3(1+3x)^{-3}(1+3x)−3 in ascending powers of x x\,x up to and including x3x^3x3
Write down the range of values of x x\,x for which the expansion is valid.
Use your expansion to find the expansion of 2x+1(1+3x)3\displaystyle \frac{2x+1}{(1+3x)^3}(1+3x)32x+1 up to and including x3x^3x3
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.