先化简,再求值:(x+1/x2−1+x/x−1)÷x+1/x2−2x+1,其中x=2.
问题描述:
先化简,再求值:(
+x+1
x2−1
)÷x x−1
,其中x=2. x+1
x2−2x+1
答
(
+x+1
x2−1
)÷x x−1
x+1
x2−2x+1
=(
+1 x−1
)•x x−1
(x−1)2
x+1
=
•x+1 x−1
(x−1)2
x+1
=x-1,
当x=2时,运算=2-1=1.