If n is an integer, then which of the following statements is/are FALSE?
I)n^3 – n is always even.
II)8n^3 +12n^2 +6n +1 is always even.
III)√ (4n^2 – 4n +1) is always odd.  Options:  A) I only  B) II only  C) I and II only  D) II and III only  E) I, II and III
1) n^3 – n   n^2(n-1)   two cases   if n=odd then n-1 is even thus n^2(n-1) is even   if n=even then n^2 is even thus n^2(n-1) is even------&gt;true for all cases   2) 8n^3 +12n^2 +6n +1   8n^3 +12n^2 +6n=Even   but Even +1 =odd------------&gt;Always False   3) for this i tried picking number upto 15 and find all cases True------&gt;True   However will be looking for any algebraic solution   Ans II only
<result>B</result>
If n is an integer, then which of the following statements is/are FALSE?
I)n^3 – n is always even.
II)8n^3 +12n^2 +6n +1 is always even.
III)√ (4n^2 – 4n +1) is always odd.