SPS SPS FM 2022 October — Question 1

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2022
SessionOctober
TopicBinomial Theorem (positive integer n)
TypeSubstitution into binomial expansion

1.
a) Find the first 3 terms, in ascending powers of \(x\), of the binomial expansion of $$( 2 - 3 x ) ^ { 5 }$$ giving each term in its simplest form.
b) Hence write down the first 3 terms, in ascending powers of \(y\), of the binomial expansion of $$\left( 2 + 3 y ^ { \frac { 3 } { 2 } } \right) ^ { 5 }$$