简化代数式(x²-1)/(x²+2x)×x/(x-1),并判断当x满足不等式组x+2-6时该代数式的符号x2-1 x2+2x ÷x-1 x =x2-1 x2+2x •x x-1 =(x -1)(x+1) x(x +2) •x x-1 =x+1 x+2 x+2<1① 2(x-1)>-6② 解不等式①,得x<-1

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简化代数式(x²-1)/(x²+2x)×x/(x-1),并判断当x满足不等式组x+2-6时该代数式的符号x2-1 x2+2x ÷x-1 x =x2-1 x2+2x •x x-1 =(x -1)(x+1) x(x +2) •x x-1 =x+1 x+2 x+2<1① 2(x-1)>-6② 解不等式①,得x<-1

简化代数式(x²-1)/(x²+2x)×x/(x-1),并判断当x满足不等式组x+2-6时该代数式的符号x2-1 x2+2x ÷x-1 x =x2-1 x2+2x •x x-1 =(x -1)(x+1) x(x +2) •x x-1 =x+1 x+2 x+2<1① 2(x-1)>-6② 解不等式①,得x<-1
简化代数式(x²-1)/(x²+2x)×x/(x-1),并判断当x满足不等式组x+2-6时该代数式的符号
x2-1 x2+2x ÷x-1 x
=x2-1 x2+2x •x x-1
=(x -1)(x+1) x(x +2) •x x-1
=x+1 x+2
x+2<1① 2(x-1)>-6②
解不等式①,得x<-1.
解不等式②,得x>-2.
所以,不等式组 x+2<1 2(x-1)>-6 的解集是-2<x<-1.
当-2<x<-1时,x+1<0,x+2>0,
所以x+1 x+2 <0,即该代数式的符号为负号.
不用你们做了,正确答案是这样!

简化代数式(x²-1)/(x²+2x)×x/(x-1),并判断当x满足不等式组x+2-6时该代数式的符号x2-1 x2+2x ÷x-1 x =x2-1 x2+2x •x x-1 =(x -1)(x+1) x(x +2) •x x-1 =x+1 x+2 x+2<1① 2(x-1)>-6② 解不等式①,得x<-1
(1 + x)/(2 + x)
符号小于0