Transform the Following Summation by Making the Change of Variable $$\sum _ { k = 0 } ^ { n } \frac { k ^ { 2 } } { k + n }$$

Essay

Transform the following summation by making the change of variable i = k + 1: $$\sum _ { k = 0 } ^ { n } \frac { k ^ { 2 } } { k + n }$$