CAIE P1 2021 November — Question 1

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2021
SessionNovember
TopicBinomial Theorem (positive integer n)
TypeProduct with reciprocal term binomial
1
  1. Expand \(\left( 1 - \frac { 1 } { 2 x } \right) ^ { 2 }\).
  2. Find the first four terms in the expansion, in ascending powers of \(x\), of \(( 1 + 2 x ) ^ { 6 }\).
  3. Hence find the coefficient of \(x\) in the expansion of \(\left( 1 - \frac { 1 } { 2 x } \right) ^ { 2 } ( 1 + 2 x ) ^ { 6 }\).
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