Final answer:
To simplify the given expression -3a^2 + 2a - 5 - (-2a^2 + a + 6), combine like terms to get -a^2 + a - 11.
Step-by-step explanation:
To simplify the given expression, -3a^2 + 2a - 5 - (-2a^2 + a + 6), we can apply the distributive property to the second term inside the parentheses:
-3a^2 + 2a - 5 + 2a^2 - a - 6
Combine like terms:
(2a^2 - 3a^2) + (2a - a) + (-5 - 6)
-a^2 + a - 11
So, the simplified expression is -a^2 + a - 11.