Expand (81+54x)14\displaystyle (81 + 54x)^{\frac{1}{4}}(81+54x)41 in ascending powers of x x\,x up to and including the term in x3x^3x3. Give each coefficient as a simplified fraction.
Write down the set 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.