Can you tell me in the problem :

What is the sum of x-4^2+6 and -(2x^2+8-3x)

How do you know whether the sum would be to add or subtract?

To find the sum of these two expressions, you first need to simplify each expression separately and then add them together.

Expression 1: x-4^2+6
= x - 16 + 6
= x - 10

Expression 2: -(2x^2 + 8 - 3x)
= -2x^2 - 8 + 3x
= -2x^2 + 3x - 8

To know whether the sum would be adding or subtracting, you need to look at the sign between the two expressions. In this case, the sign between the two expressions is a positive sign, which means that you need to add the two simplified expressions together.

Therefore, the sum of x-4^2+6 and -(2x^2+8-3x) is (x-10) + (-2x^2 + 3x - 8) = -2x^2 + 4x - 18.