2024/046) Show that cube of a positive integer can be written as difference of 2 squares

 Proof:

A cube is either even or odd

If it is odd we can write it as $2n + 1$ which can be written as $(n+1)^2 - n^2$

If it is even the the number is even say $2n$ so cube is $8k$ where $n= k^3$  can be written as $(2k+1)^2 -(2k-1)^2$