2. (a) Find, in ascending powers of \(x\), the first three non-zero terms of the binomial series expansion of $$\sqrt [ 3 ] { 1 + 4 x ^ { 3 } } \quad | x | < \frac { 1 } { \sqrt [ 3 ] { 4 } }$$ giving each coefficient as a simplified fraction.
(b) Use the expansion from part (a) with \(x = \frac { 1 } { 3 }\) to find a rational approximation to \(\sqrt [ 3 ] { 31 }\)
(3)