What is the first puzzle in MHB's puzzle contest?

[mathworker]

$$1^2-0^2=1^3$$
$$1^3-0^3=1^2$$

 

[alyafey22]

$$1^2-0^2=1^3$$
$$1^3-0^3=1^2$$

In some context 0 is not a whole number ;) .

 

[alyafey22]

• $$10^2-6^2 = 4^3 $$
  
• $$10^3-6^3 = 28^2 $$