Expand (1+3x)−3(1 + 3x)^{-3}(1+3x)−3 in ascending powers of x x\,x up to and including x3 x^3\,x3 and 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
Write down the range of values of x x\,x for which the expansion is valid.
409 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.