Expand (1+x)−2(1+x)^{-2}(1+x)−2 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.
Use your expansion to find an approximation for (1.06)−2(1.06)^{-2}(1.06)−2 to 5 decimal places.
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.