The sum of the first n cubes is always the square of the sum of numbers from 1 to n. For example 1³+2³+3³+4³=(1+2+3+4)². You can prove it by induction; just ex

The sum of the first n cubes is always the square of the sum of numbers from 1 to n. For example 1³+2³+3³+4³=(1+2+3+4)². You can prove it by induction; just expand (n(n+1)/2)² – (n(n-1)/2)², the result is n³.