Question

For any positive integer n , prove that n3 - n is divisible by 6 . please help me to solve this problem.

Answer 1

Answer:

Hope it helps mate.......Please mark as brainliest.

Step-by-step explanation:

So lets take n as 2.

n3=2^3 =8

n3-n=8-2=6.

6 is divisble by 6.

Hence proved....

Answer 2

Answer:

Prove that n^3-n is divisible by 6.

Proof:

Example 1: Take n as 2

2^3-2

=8-2

=6

6/6=1

Example 2: Take n as 5

5^3-5

=125-5

=120

120/6=20

Example 3: Take n as 10

10^3-10

=1000-10

=990

990/6=165

In each example, all the answers acquired by using positive integers are divisible by 6.

Hence, proved.