- (a) Find the binomial expansion of
$$\frac { 1 } { \sqrt { } ( 9 - 10 x ) } , \quad | x | < \frac { 9 } { 10 }$$
in ascending powers of \(x\) up to and including the term in \(x ^ { 2 }\).
Give each coefficient as a simplified fraction.
(b) Hence, or otherwise, find the expansion of
$$\frac { 3 + x } { \sqrt { } ( 9 - 10 x ) } , \quad | x | < \frac { 9 } { 10 }$$
in ascending powers of \(x\), up to and including the term in \(x ^ { 2 }\).
Give each coefficient as a simplified fraction.