先化简再求值:1⼀(x+2)-(x^2+2x+1)⼀(x-2)÷(x^2-1)⼀(x-1),其中x=(根号2)-2

2024-11-26 06:23:19
推荐回答(2个)
回答1:

1/(x+2)-(x^2+2x+1)/(x-2)÷(x^2-1)/(x-1)

=1/(x+2)-(x+1)²/(x-2)÷(x-1)(x+1)/(x-1)

=1/(x+2)-(x+1)/(x-2)
=(x-2-x²-3x-2)/(x+2)(x-2)
=[-(x+1)²-3]/(x+2)(x-2)
=[-(根号2-1)²-3]/(2-4根号2)
=(-1+5根号2)/7

回答2:

慢慢想想