UPSKILL MATH PLUS

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Which of the following is the largest?
 
(i) \(68^3– 67^3\) 
 
(ii) \(44^3– 43^3\)
 
(iii) \(68^2– 67^2\)
 
(iv) \(44^2– 43^2\)
 
 
Explain your reasoning.
 
\((n + 1)^3 – n^3 =\)
 
\((n + 1)^2 – n^2 = \)
Answer variants:
\(1 + (n + 1) × 3n\)
\( 2n + 1\)
\( 3n + 1\)