CAIE P1 Specimen — Question 1

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
SessionSpecimen
TopicBinomial Theorem (positive integer n)
TypeCoefficient zero by design (proof)

1 In the expansion of \(\left( 1 - \frac { 2 x } { a } \right) ( a + x ) ^ { 5 }\), where \(a\) is a non-zero constant, show that the coefficient of \(x ^ { 2 }\) is zero.