OCR C4 2007 January — Question 5

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
Year2007
SessionJanuary
TopicGeneralised Binomial Theorem
TypeSubstitute expression for variable
5
  1. Expand \(( 1 - 3 x ) ^ { - \frac { 1 } { 3 } }\) in ascending powers of \(x\), up to and including the term in \(x ^ { 3 }\).
  2. Hence find the coefficient of \(x ^ { 3 }\) in the expansion of \(\left( 1 - 3 \left( x + x ^ { 3 } \right) \right) ^ { - \frac { 1 } { 3 } }\).
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