A1.
(x-5x/(x+2))*((x-3)/(x+2))⁻¹=(x*(x+2)-5x)/(x+2))*((x+2)/(x-3))=
=(x²+2x-5x)/(x+2)*((x+2)/(x-3))-(x²-3x)/(x+2))/((x+2)/(x-3))=
=(x*(x-3)/(x+2))*((x+2)/(x-3))=(x*(x-3)*(x+2)/((x+2)*(x-3))=x.
Ответ: 2).
A2.
-2x³+6x²-3 |_x+2_
-2x³-4x² | -2x²+10x-20
----------
10x²-3
10x²+20x
------------
-20x-3
-20x-40
-----------
37
Ответ: 2).
A3.
(x⁴-256)/(16-x²)=14x+24 ОДЗ: 16-x²≠0 (4-x)(4+x)≠0 x≠4 x≠-4
(x²-16)(x²+16)/(-(x²-16))=14x+26
-x²-16=14x+24
x²+14x+40=0 D=36
x₁=-10 x₂=-4 ∉ ОДЗ ⇒
x∈(-12;-9).
Ответ: 3).