Question

The largest number by which the expression n³ - n is divisible for all the possible integral values
of n is
(1) 2
(2) 3
(3) 4
(4) 6​

Answer 1

Answer:

ans =(4)

Step-by-step explanation:

solution attached in image...

Answer 2

❄️ Answer:-

(4) 6 ✅

❄️ Explanation:-

n² − n = (n−1)(n)(n+1), for integral values of n, represents the product of three consecutive integers.

Since in a pair of consecutive integers, there is a multiple of two, and in a triplet of consecutive integers, there is a multiple of three, then n³ − n is divisible by 6.