|x| = x x>=0
= - x x<0
|x^2-2x+2|+|8-2x|-x^2
x^2 - 2x + 2 = 16 - 8 + 2 > 0 |x^2-2x+2| = x^2-2x+2
8 - 2x <= 0 |8-2x| = 2х - 8
раскроем модули
|x^2-2x+2|+|8-2x|-x^2 = x^2-2x+2 + 2х- 8 -x^2 = -6
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Verified answer
|x| = x x>=0
= - x x<0
|x^2-2x+2|+|8-2x|-x^2
x^2 - 2x + 2 = 16 - 8 + 2 > 0 |x^2-2x+2| = x^2-2x+2
8 - 2x <= 0 |8-2x| = 2х - 8
раскроем модули
|x^2-2x+2|+|8-2x|-x^2 = x^2-2x+2 + 2х- 8 -x^2 = -6