Edexcel C4 2013 January — Question 1

Exam BoardEdexcel
ModuleC4 (Core Mathematics 4)
Year2013
SessionJanuary
TopicGeneralised Binomial Theorem
TypeSeries expansion of rational function

  1. Given
$$f ( x ) = ( 2 + 3 x ) ^ { - 3 } , \quad | x | < \frac { 2 } { 3 }$$ find the binomial expansion of \(\mathrm { f } ( x )\), in ascending powers of \(x\), up to and including the term in \(x ^ { 3 }\). Give each coefficient as a simplified fraction.