CPM Homework Help : APCALC Problem 2-20

What is the difference, if any, between the values of $\displaystyle\sum _ { j = 3 } ^ { 8 } j ^ { 2 }$ and $\displaystyle\sum _ { j = 2 } ^ { 7 } ( j + 1 ) ^ { 2 }$ ?

Hint:

Expand each sum and compare the series.