Rút gọn biểu thức : \(\frac{1}{1^4+1^2+1}+\frac{2}{2^4+2^2+2}+\frac{3}{3^4+3^2+3}+...+\frac{2014}{2014^4+2014^2+2014}\)

Rút gọn biểu thức: \(\frac{1}{1^4+1^2+1}+\frac{2}{2^4+2^2+1}+\frac{3}{3^4+3^2+1}+...+\frac{2014}{2014^4+2014^2+1}\)

Rút gọn biểu thức: \(\frac{1}{1^4+1^2+1}+\frac{2}{2^4+2^2+1}+\frac{3}{3^4+3^2+1}+.....+\frac{2014}{2014^4+2014^2+1}\)

rút gọn biểu thức:\(\frac{1}{1^4+1^2+1}+\frac{2}{2^4+2^2+1}+...+\frac{2014}{2014^4+2014^2+1}\)được giá trị là bao nhiêu?

Rút gọn biểu thức sau :

\(A=\frac{1^{2014}+2^{2014}+3^{2014}+....................+10^{2014}}{2^{2014}+4^{2014}+6^{2014}+....................+20^{2014}}\)

giá trị biểu thức A=\(\frac{2014+\frac{2013}{2}+\frac{2012}{3}+...+\frac{2}{2013}+\frac{1}{2014}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2014}+\frac{1}{2015}}là?\)

Rút gọn \(\frac{1}{\sqrt{2}-\sqrt{3}}-\frac{1}{\sqrt{3}-\sqrt{4}}+\frac{1}{\sqrt{4}-\sqrt{5}}-...-\frac{1}{\sqrt{2013}+\sqrt{2014}}+\frac{1}{\sqrt{2014}-\sqrt{2015}}\)

\(y=\frac{1}{1^4+1^2+1}+\frac{1}{2^4+2^2+1}+\frac{1}{3^4+3^2+1}+............+\frac{2014}{2014^4+2014^2+1}\)

Rut gon bieu thuc

\(\frac{1}{1^4+1^2+1}+\frac{2}{2^4+2^2+1}+\frac{3}{3^4+3^2+1}+...+\frac{2014}{2014^4+2014^2+1}\)