Edexcel C2 — Question 10

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
TopicBinomial Theorem (positive integer n)
TypeSimplify to standard form

10. (a) Given that $$( 2 + x ) ^ { 5 } + ( 2 - x ) ^ { 5 } = A + B x ^ { 2 } + C x ^ { 4 }$$ find the values of the constants \(A , B\) and \(C\).
(b) Using the substitution \(y = x ^ { 2 }\) and your answers to part (a), solve, $$( 2 + x ) ^ { 5 } + ( 2 - x ) ^ { 5 } = 349$$ [P2 June 2001 Question 8]