Suppose n is positive integer. Then (n^2+n)(2n+1)

option
may not be divisible by 2
is always divisible by 2 but may not be divisible by 3
is always divisible by 3 but may not be divisible by 6
is always divisible by 6

• Always divisible by 6
• 10 years agoHelpfull: Yes(0) No(0)
• (n^2+n)(2n+1) is written as n(n+1)(2n+1)
  if n is multple of 2 then even positive integer * odd positive integer * odd positive integer is always even positive integers
  if n is multple of 3 then odd positive integer * even positive integer * odd positive integer is always even positive integers
  
  there fore it gives always even positive integers ,which is always divisible by 2 but may not be divisible by 3
  
• 10 years agoHelpfull: Yes(0) No(0)