The expression a^2 + 10a + 16 can be written 9n factored form as (a+8)(a+k), where k represents a number. What is the value of k?

A. 60
B. 6
C. 12
D. 2

To determine the value of k, we need to find two numbers that multiply to 16 and add up to 10. The two numbers are 8 and 2.

So, a^2 + 10a + 16 can be factored as (a+8)(a+2).

Therefore, k = 2, which corresponds to option D.