Expand (27+54x)13\displaystyle (27+54x)^{\frac{1}{3}}(27+54x)31 in ascending powers of x x\,x up to and including x3x^3x3, giving your answer in exact form, and hence write down the range of values of x x\,x for which the expansion is valid.
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.