how can i solve this problem: 2014^3 - 4 *2014 /(fraction) 2014^2 + 2 * 2014

Do you mean the following?

\frac{2014^3-4*2014}{2014^2+2*2014} $$\\ $$ =\frac{2014*(2014^2-4)}{2014*(2014+2)} $$\\ $$ =\frac{(2014-2)(2014+2)}{2014+2} $$\\ $$ =2014-2 = 2012