CAIE P1 2007 November — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2007
SessionNovember
TopicBinomial Theorem (positive integer n)
TypeSubstitution into binomial expansion

3
  1. Find the first three terms in the expansion of \(( 2 + u ) ^ { 5 }\) in ascending powers of \(u\).
  2. Use the substitution \(u = x + x ^ { 2 }\) in your answer to part (i) to find the coefficient of \(x ^ { 2 }\) in the expansion of \(\left( 2 + x + x ^ { 2 } \right) ^ { 5 }\).