Expand (1+4x)−4(1+4x)^{-4}(1+4x)−4 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 3x+1(1+4x)4\displaystyle \frac{3x+1}{(1+4x)^4}(1+4x)43x+1 up to and including x3x^3x3
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.