Prove That the Following Three Statements About Positive Integers N $$\text { (b) } n ^ { 3 } + 1 \text { is }$$

Short Answer

Prove that the following three statements about positive integers n are equivalent: (a) n is even; $$\text { (b) } n ^ { 3 } + 1 \text { is }$$ odd; $$\text { (c) } n ^ { 2 } - 1 \text { is odd. }$$