先化简在求值,（x/x-1-1/x²-x）÷（x+1）.其中x=√2.

先化简在求值,（x/x-1-1/x²-x）÷（x+1）.其中x=√2.
先化简在求值,（x/x-1-1/x²-x）÷（x+1）.其中x=√2.

先化简在求值,（x/x-1-1/x²-x）÷（x+1）.其中x=√2.
（x/x-1-1/x²-x）÷（x+1)
=（x²/x²-x-1/x²-x）÷（x+1)
=（x²-1）/x(x-1)÷（x+1）
=(x+1)(x-1)/x(x+1)(x-1)
=1/x
=1/√2
=(√2)/2
如果本题有什么不明白可以追问,如果满意请点击“选为满意答案”

原式=(x²-1)/x(x-1)*1/(x+1)
=(x+1)(x-1)/x(x-1)*1/(x+1)
=(x+1)/x*1/(x+1)
=1/x
=1/√2
=√2/2

[x/(x-1)-1/(x²-x)]÷(x+1)
=[x²/x(x-1)-1/x(x-1)]÷(x+1)
=[(x²-1)/x(x-1)]÷(x+1)
=[(x+1)(x-1)/x(x-1)]÷(x+1)
=[(x+1)/x]×1/(x+1)
=1/x
=1/√2=√2/2.