Expand (1+5x)−3(1+5x)^{-3}(1+5x)−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 4x+1(1+5x)3\displaystyle \frac{4x+1}{(1+5x)^3}(1+5x)34x+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.