sir i am actually confused that how can i solve this  question the way in my textbook or in my way sir please look at this question i had also written its answer is it correct or not question isShow that a number of the form n³ - n is always divisible by 6, where n is any positive integer as follows

solution

let n be 6q .......1

 n³-n=n{n to the power 2 - 1}

now, 6q{6q to the power 2 -1} ...........using 1

6r where r is q{6q to the power 2 -1}

 thank you sir