Answer
-2a$^2$ + a + 1
Work Step by Step
First, re-write the second set of parenthesis to reflect the negative sign:
(6a$^2$ + 2a + 1) - (8a$^2$ + a)
(6a$^2$ + 2a + 1) + (-8a$^2$ - a)
Now, re-write without parenthesis:
6a$^2$ + 2a + 1 + -8a$^2$ - a
Combine like terms:
6a$^2$ - 8a$^2$ + 2a - a + 1
= -2a$^2$ + a + 1