Which of the following is the greatest?
 
(i) \(70^3– 69^3\) 
 
(ii) \(46^3– 45^3\)
 
(iii) \(70^2– 69^2\)
 
(iv) \(46^2– 45^2\)
 
 
Explain your reasoning.
 
\((n + 1)^3 – n^3 =\)
 
\((n + 1)^2 – n^2 = \)
Answer variants:
\(1 + (n + 1) × 3n\)
\( 2n + 1\)
\( 3n + 1\)