Question 8 - A-Level Maths

Exam Board	OCR
Module	H240/01 (Pure Mathematics)
Year	2018
Session	June
Topic	Generalised Binomial Theorem
Type	Finding unknown constant from coefficient

Find the first three terms in the expansion of \(( 4 - x ) ^ { - \frac { 1 } { 2 } }\) in ascending powers of \(x\).
The expansion of \(\frac { a + b x } { \sqrt { 4 - x } }\) is \(16 - x \ldots\). Find the values of the constants \(a\) and \(b\).