65.3k views
3 votes
Show that n(n – 1)(n + 1) + 6n ≡ n3 + 5n

User Nordes
by
5.9k points

1 Answer

6 votes
Answer:

Step-by-step explanation:

n(n - 1)(n + 1) + 6n = n^3 + 5n
n(n^2 - 1) + 6n = n^3 + 5n
n^3 - n + 6n = n^3 + 5n
n^3 + 5n = n^3 + 5n (proven)
User Suz
by
5.6k points