Simplify the following:
-9 h^2 - 2 h k + 6 k^2 - (5 h^2 + 2 h k + k^2)
-(5 h^2 + 2 h k + k^2) = -5 h^2 - 2 h k - k^2:
-9 h^2 - 2 h k + 6 k^2 + -5 h^2 - 2 h k - k^2
Grouping like terms, -9 h^2 - 2 h k + 6 k^2 - 5 h^2 - 2 h k - k^2 = (6 k^2 - k^2) + (-2 h k - 2 h k) + (-9 h^2 - 5 h^2):
(6 k^2 - k^2) + (-2 h k - 2 h k) + (-9 h^2 - 5 h^2)
6 k^2 - k^2 = 5 k^2:
5 k^2 + (-2 h k - 2 h k) + (-9 h^2 - 5 h^2)
-2 (h k) - 2 (h k) = -4 (h k):
5 k^2 + -4 h k + (-9 h^2 - 5 h^2)
-9 h^2 - 5 h^2 = -14 h^2:
Answer: |5k^2 - 4hk -14h^2
