Edexcel P4 2018 Specimen — Question 1

Exam BoardEdexcel
ModuleP4 (Pure Mathematics 4)
Year2018
SessionSpecimen
TopicGeneralised Binomial Theorem
TypeSeries expansion of rational function
  1. Use the binomial series to find the expansion of
$$\frac { 1 } { ( 2 + 5 x ) ^ { 3 } } \quad | \boldsymbol { x } | < \frac { 2 } { 5 }$$ in ascending powers of \(x\), up to and including the term in \(x ^ { 3 }\)
Give each coefficient as a fraction in its simplest form.
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