Algebraic simplification first

Simplify the quotient algebraically (e.g., multiply by conjugate or rewrite) before applying binomial expansion to a single expression.

1 questions · Challenging +1.2

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Edexcel AEA 2018 June Q1

5 marks Challenging +1.2

1.(a)Show that \(\sqrt { \frac { 1 + x } { 1 - x } }\) can be written in the form \(\frac { 1 + x } { \sqrt { 1 - x ^ { 2 } } }\) for \(| x | < 1\) (b)Hence,or otherwise,find the expansion,in ascending powers of \(x\) up to and including the term in \(x ^ { 5 }\) ,of \(\sqrt { \frac { 1 + x } { 1 - x } }\)