Question

упростить выражение:(4-x^2)/(|x+2|)-(|x^2-x|)/(x-1)

Answer 1

1)x<-2
(2-x)(2+x)/[-(x+2)]-x(x-1)/(x-1)=-2+x-x=-2
2)-2<x<0
(2-x)(2+x)/(x+2)-x(x-1)/(x-1)=2-x-x=2-2x
3)0≤x<1
(2-x)(2+x)/(x+2)+x(x-1)/(x-1)=2-x+x=2
4)x>1
(2-x)(2+x)/(x+2)-x(x-1)/(x-1)=2-x-x=2-2x