- (a) Expand \(\left( 1 + \frac { 3 } { x } \right) ^ { 2 }\) simplifying each term.
(b) Use the binomial expansion to find, in ascending powers of \(x\), the first four terms in the expansion of
$$\left( 1 + \frac { 3 } { 4 } x \right) ^ { 6 }$$
simplifying each term.
(c) Hence find the coefficient of \(x\) in the expansion of
$$\left( 1 + \frac { 3 } { x } \right) ^ { 2 } \left( 1 + \frac { 3 } { 4 } x \right) ^ { 6 }$$