先化简再求值:x2-1⼀x2-2x+1 +x2-2x⼀x-2 ÷x,其中x=2⼀3

2024-11-27 02:41:10
推荐回答(2个)
回答1:

(x^2-1)/(x^2-2x+1) +(x^2-2x)/(x-2) ÷x
=(x-1)(x+1)/(x-1)^2+x(x-2)/(x-2) *1/x
=(x+1)/(x-1)+1
=(x+1+x-1)/(x-1)
=2x/(x-1)
=(2*2/3)/(2/3-1)
=(4/3)/(-1/3)
=-4/3*3
=-4

回答2:

x2-1/x2-2x+1 +x2-2x/x-2 ÷x
=(x+1)(x-1)/(x-1)^2+x(x-2)/(x-2)÷x
=(x+1)/(x-1)+1
=2x/(x-1) x=2/3
=(4/3)/(-1/3)
=-4