- (a) Find the first four terms, in ascending powers of \(x\), of the binomial expansion of
$$\left( 1 - \frac { 1 } { 6 } x \right) ^ { 9 }$$
giving each term in simplest form.
(b) Hence find the coefficient of \(x ^ { 3 }\) in the expansion of
$$( 10 x + 3 ) \left( 1 - \frac { 1 } { 6 } x \right) ^ { 9 }$$
giving the answer in simplest form.