Use the binomial expansion to expand
(9−4x)−12∣x∣<94(9 - 4x)^{-\frac{1}{2}} \quad |x| < \frac{9}{4}(9−4x)−21∣x∣<49
in ascending powers of xxx, up to and including the term in x2x^2x2, giving each coefficient as a fully simplified fraction.
f(x)=6+kx9−4xwhere k is a constant and ∣x∣<94f(x) = \frac{6 + kx}{\sqrt{9 - 4x}} \quad \text{where } k \text{ is a constant and } |x| < \frac{9}{4}f(x)=9−4x6+kxwhere k is a constant and ∣x∣<49
Given that the series expansion of f(x)f(x)f(x), in ascending powers of xxx, is
2+49x+px2+…where p is a constant2 + \frac{4}{9}x + px^2 + \dots \quad \text{where } p \text{ is a constant}2+94x+px2+…where p is a constant
find the value of kkk,
find the value of ppp.
Practise Edexcel A Level Maths 4.2 Expanding (a + bx)^n with exam-style questions for A Level Maths. 99 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.