Rationalize the denominator of \(\displaystyle \frac{1}{\sqrt[3]{3} - \sqrt[3]{2}}\). With your answer in the form \(\displaystyle \frac{\sqrt[3]{A} + \sqrt[3]{B} + \sqrt[3]{C}}{D}\) , and the fraction in lowest terms, what is \(A + B + C + D\)?
Please help and thank you so much! Also, could you write the steps that you did to get your answer because I want to learn how to do it myself~