Question 6 - A-Level Maths

Exam Board	OCR
Module	H240/01 (Pure Mathematics)
Year	2021
Session	November
Topic	Generalised Binomial Theorem
Type	Product of separate expansions

Find the first three terms in the expansion of \(( 8 - 3 x ) ^ { \frac { 1 } { 3 } }\) in ascending powers of \(x\).
State the range of values of \(x\) for which the expansion in part (a) is valid.
Find the coefficient of \(x ^ { 2 }\) in the expansion of \(\frac { ( 8 - 3 x ) ^ { \frac { 1 } { 3 } } } { ( 1 + 2 x ) ^ { 2 } }\).