Question

Prove. An odd number cubed is an
odd number.

Answer 1

any odd number multiplied by any other odd number is still odd, so cubing or squaring an odd number will keep it odd.

Answer 2

If you're looking for the equation, it's:

`(2n+1)^3=8n^3+12n^2+6n+1=2(4n^3+6n^2+3n)+2=` an odd

I know because I got it right on acellus.