Find the difference and fill in the blanks with the correct numerical values.
(x^2-2x+5)-(3x^2+9x-11)
___x^2 + _____x + ______
Completing the subtraction in the parentheses:
(x^2-2x+5)-(3x^2+9x-11) = x^2 - 2x + 5 - 3x^2 - 9x + 11.
Next, combine like terms:
= (1x^2 - 3x^2) + (-2x - 9x) + (5 + 11)
= -2x^2 - 11x + 16.
The difference is:
-2x^2 - 11x + 16.