Question 1 - A-Level Maths

Exam Board	AQA
Module	C4 (Core Mathematics 4)
Year	2016
Session	June
Marks	1
Topic	Generalised Binomial Theorem and Partial Fractions

Express \(\frac { 19 x - 3 } { ( 1 + 2 x ) ( 3 - 4 x ) }\) in the form \(\frac { A } { 1 + 2 x } + \frac { B } { 3 - 4 x }\).
1. Find the binomial expansion of \(\frac { 19 x - 3 } { ( 1 + 2 x ) ( 3 - 4 x ) }\) up to and including the term in \(x ^ { 2 }\).
2. State the range of values of \(x\) for which this expansion is valid.
  [0pt] [1 mark]