Edexcel C4 2007 January — Question 1

Exam BoardEdexcel
ModuleC4 (Core Mathematics 4)
Year2007
SessionJanuary
TopicGeneralised Binomial Theorem
TypeSeries expansion of rational function
1. $$f ( x ) = ( 2 - 5 x ) ^ { - 2 } , \quad | x | < \frac { 2 } { 5 }$$ Find the binomial expansion of \(\mathrm { f } ( x )\), in ascending powers of \(x\), as far as the term in \(x ^ { 3 }\), giving each coefficient as a simplified fraction.
(5)
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