Question 3 - A-Level Maths

Exam Board	AQA
Module	C4 (Core Mathematics 4)
Year	2012
Session	June
Topic	Generalised Binomial Theorem
Type	Product of separate expansions

Find the binomial expansion of \(( 1 + 4 x ) ^ { \frac { 1 } { 2 } }\) up to and including the term in \(x ^ { 2 }\).
(2 marks)
1. Find the binomial expansion of \(( 4 - x ) ^ { - \frac { 1 } { 2 } }\) up to and including the term in \(x ^ { 2 }\).
2. State the range of values of \(x\) for which the expansion in part (b)(i) is valid.
Find the binomial expansion of \(\sqrt { \frac { 1 + 4 x } { 4 - x } }\) up to and including the term in \(x ^ { 2 }\).
(2 marks)