Perform the operation of (10x^2 - 7) - (4x^2 + 5x - 9)

To perform the operation of (10x^2 - 7) - (4x^2 + 5x - 9), we need to distribute the negative sign to every term inside the second set of parenthesis:

(10x^2 - 7) - (4x^2 + 5x - 9) = 10x^2 - 7 - 4x^2 - 5x + 9

Now, we can combine like terms:

(10x^2 - 7) - (4x^2 + 5x - 9) = (10x^2 - 4x^2) + (-5x) + (-7 + 9)
= 6x^2 - 5x + 2

Therefore, the result of the operation (10x^2 - 7) - (4x^2 + 5x - 9) is 6x^2 - 5x + 2.