AQA C4 2014 June — Question 3 4 marks

Exam BoardAQA
ModuleC4 (Core Mathematics 4)
Year2014
SessionJune
Marks4
TopicGeneralised Binomial Theorem
TypeProduct of separate expansions

3
  1. Find the binomial expansion of \(( 1 - 4 x ) ^ { \frac { 1 } { 4 } }\) up to and including the term in \(x ^ { 2 }\).
    [0pt] [2 marks]
  2. Find the binomial expansion of \(( 2 + 3 x ) ^ { - 3 }\) up to and including the term in \(x ^ { 2 }\).
  3. Hence find the binomial expansion of \(\frac { ( 1 - 4 x ) ^ { \frac { 1 } { 4 } } } { ( 2 + 3 x ) ^ { 3 } }\) up to and including the term in \(x ^ { 2 }\).
    [0pt] [2 marks]