Direct binomial expansion of quotient

A question is this type if and only if it asks to find the binomial expansion of a quotient like (1+ax)/(1+bx)^n directly without explicitly requiring partial fractions first.

2 questions · Standard +0.0

1.04c Extend binomial expansion: rational n, |x|<11.04d Binomial expansion validity: convergence conditions
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OCR MEI C4 Q4
7 marks Standard +0.3
4 Find the first three terms in the binomial expansion of \(\frac { 1 + 2 x } { ( 1 - 2 x ) ^ { 2 } }\) in ascending powers of \(x\). State the set of values of \(x\) for which the expansion is valid.
[0pt] [7]
OCR MEI C4 2010 January Q1
1 marks Moderate -0.3
1 Find the first three terms in the binomial expansion of \(\frac { 1 + 2 x } { ( 1 - 2 x ) ^ { 2 } }\) in ascending powers of \(x\). State the set of values of \(x\) for which the expansion is valid.