SPS SPS FM 2022 February — Question 8

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2022
SessionFebruary
TopicGeneralised Binomial Theorem
TypeCoefficient of x^n in product
8.
  1. Expand \(( 1 - 3 x ) ^ { - 2 }\) in ascending powers of \(x\), up to and including the term in \(x ^ { 2 }\).
  2. Find the coefficient of \(x ^ { 2 }\) in the expansion of \(\frac { ( 1 + 2 x ) ^ { 2 } } { ( 1 - 3 x ) ^ { 2 } }\) in ascending powers of \(x\).
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