Expand 1+kx3\sqrt[3]{1 + kx}31+kx in ascending powers of x x\,x up to and including x3 x^3\,x3 and state the set of values of x x\,x for which the expansion is valid, where k>0k>0k>0.
Use your expansion to find an approximation for 1+k203\displaystyle \sqrt[3]{1 + \frac{k}{20}}31+20k in terms of kkk.
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.