The definition of Big-Oh given in the textbook is:

Let f(n) and g(n) be functions mapping nonnegative integers to real numbers. We say that f(n) is O(g(n)) if there is a real constant c > 0 and an integer constant n₀ 1 such that for all n n₀, f(n) c g(n).

Show that (n+1)⁵ is O(n⁵) by specifying the constants c and n0 in the definition above and providing the algebra that shows that the definition is satisfied.