Question

show that n³-n is divisible by 8 if n is an odd positive integer​

Answer 1

Step-by-step explanation:

Hi friend!!

→ (n³-n)

Let us try to substitute few numbers to see if true....

Put n = 1,

(1³-1) = 1-1 = 0 is divisible by 8

Put n = 3,

(3³-3) = 27-3 = 24 is divisible by 8

Put n = 5,

(5³-5) = 125-5 = 120 is divisible by 8

Therefore,For any odd positive integer 'n', (n³ -n) is divisible by 8.

PLEASE MARK BRAINIEST