- (a) Find the binomial expansion of
$$\frac { 1 } { ( 4 + 3 x ) ^ { 3 } } , \quad | x | < \frac { 4 } { 3 }$$
in ascending powers of \(x\), up to and including the term in \(x ^ { 3 }\).
Give each coefficient as a simplified fraction.
In the binomial expansion of
$$\frac { 1 } { ( 4 - 9 x ) ^ { 3 } } , \quad | x | < \frac { 4 } { 9 }$$
the coefficient of \(x ^ { 2 }\) is \(A\).
(b) Using your answer to part (a), or otherwise, find the value of \(A\). Give your answer as a simplified fraction.