Write down the range of values of x x\,x for which the expansion of (64+32x)13\displaystyle (64 + 32x)^{\frac{1}{3}}(64+32x)31 in ascending powers of x x\,x 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.