Задание 1.
(x+y-2z)*(y-x)-(y+z-2x)*(y-z)+(z+x-2y)*(x-z)+10.
1. ((x+y)-2z)*(y-x)=(2z-(x+y))*(x-y)=2z*(x-y)-(x²-y²)=2xz-2yz-x²+y².
2. ((y+z)-2x)*(y-z)=(y²-z²)-2x*(y-z)=y²-z²-2xy+2xz.
3. (z+x-2y)*(x-z)=((x+z)-2y)*(x-z)=x²-z²-2y*(x-z)=x²-z²-2xy+2yz.
4. 2xz-2yz-x²+y²-(y²-z²-2xy+2xz)+x²-z²-2xy+2yz+10=
=2xz-2yz-x²+y²-y²+z²+2xy-2xz+x²-z²-2xy+2yz+10=10.
Задание 2.
(3x⁵-24x²)/(6x⁵-12x⁴)=3x²*(x³-8)/(6x⁴*(x-2))=3x²(x-2)*(x²+2x+4)/(6x⁴*(x-2))=
=(x²+2x+4)/(2x²). ОДЗ: 6x⁴*(x-2)≠0 x₁≠0 x₂≠2. ⇒
Ответ: x∈(-∞;0)U(0;2)U(2;+∞).