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

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