Final answer:
To find the difference, distribute the negative sign and combine like terms.
Step-by-step explanation:
To find the difference of the two given expressions, (k^2 - 7k + 2) - (k^2 - 12), we can use the distributive property of subtraction. Distribute the negative sign to each term inside the parentheses:
(k^2 - 7k + 2) - (k^2 - 12) = k^2 - 7k + 2 - k^2 + 12
Combine like terms:
k^2 - k^2 - 7k + 2 + 12 = -7k + 14
The difference of the given expressions is -7k + 14.