化简:①.(x²-y²)÷(√x+√y)= ②.a√[-(a+1)/a²]=化简:①.(x²-y²)÷(√x+√y)= ②.a√[-(a+1)/a²]= ③.若0
来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/25 04:28:48
化简:①.(x²-y²)÷(√x+√y)= ②.a√[-(a+1)/a²]=化简:①.(x²-y²)÷(√x+√y)= ②.a√[-(a+1)/a²]= ③.若0
化简:①.(x²-y²)÷(√x+√y)= ②.a√[-(a+1)/a²]=
化简:①.(x²-y²)÷(√x+√y)= ②.a√[-(a+1)/a²]= ③.若0
化简:①.(x²-y²)÷(√x+√y)= ②.a√[-(a+1)/a²]=化简:①.(x²-y²)÷(√x+√y)= ②.a√[-(a+1)/a²]= ③.若0
①.(x²-y²)÷(√x+√y)
= (x+y)(x-y)÷(√x+√y)
=(x+y)(√x+√y)(√x-√y)÷(√x+√y)
=(x+y)(√x-√y)
②.a√[-(a+1)/a²]=
因为根号里面要大于等于0,所以:
-(a+1)>0
a+1
=(x+y)(x-y)/(√x+√y) =(x+y)(√x+√y)(√x-√y)/(√x+√y) =(x+y)(√x-√y) =-(a/a)√(-a-1) =-√(-a-1) ==√[a^2+1/a^2+2-4] =(1-a)/a
=√[a^2+1/a^2-2]
=√(a-1/a)^2
①原式=(x²-y²)(√x-√y)/(x-y)
=(x+y)(√x-√y)
=x√x-x√y+y√x-y√y
②∵-(a+1)/a²≥0
∴a≤-1<0
∴原式=a/|a|·√(-a-1)=a/(-a)·√(-a-1)=-√(-a-1)
③原式=√(a-1/a)²=|a-1/a|
...
全部展开
①原式=(x²-y²)(√x-√y)/(x-y)
=(x+y)(√x-√y)
=x√x-x√y+y√x-y√y
②∵-(a+1)/a²≥0
∴a≤-1<0
∴原式=a/|a|·√(-a-1)=a/(-a)·√(-a-1)=-√(-a-1)
③原式=√(a-1/a)²=|a-1/a|
当a<-1或者0当-1≤a<0或者a≥1时,原式=a-1/a
收起