Edexcel C4 2008 June — Question 5

Exam BoardEdexcel
ModuleC4 (Core Mathematics 4)
Year2008
SessionJune
TopicGeneralised Binomial Theorem
TypeMultiply by polynomial

5. (a) Expand \(\frac { 1 } { \sqrt { } ( 4 - 3 x ) }\), where \(| x | < \frac { 4 } { 3 }\), in ascending powers of \(x\) up to and including the term in \(x ^ { 2 }\). Simplify each term.
(b) Hence, or otherwise, find the first 3 terms in the expansion of \(\frac { x + 8 } { \sqrt { } ( 4 - 3 x ) }\) as a series in ascending powers of \(x\).