- (a) Find the first 4 terms, in ascending powers of \(x\), of the binomial expansion of
$$\left( 1 - \frac { 1 } { 2 } x \right) ^ { 10 }$$
giving each term in its simplest form.
(b) Hence find the coefficient of \(x ^ { 3 }\) in the expansion of
$$\left( 3 + 5 x - 2 x ^ { 2 } \right) \left( 1 - \frac { 1 } { 2 } x \right) ^ { 10 }$$