当x=3时,求(x+2⼀x눀-2x-x-1⼀x눀-4x+4)÷x눀-16⼀x눀+4x的值

2024年12月03日 07:45
有2个网友回答
网友(1):

[(x+2)/(x²-2x)-(x-1)/(x²-4x+4)]÷[(x²-16)/(x²+4x)]
={(x+2)/[x(x-2)]-(x-1)/(x-2)²}×x(x+4)/[(x+4)(x-4)]
={(x-2)(x+2)/[x(x-2)²]-x(x-1)/[x(x-2)²]}×[x/(x-4)]
=[(x²-4-x²+x]/[x(x-2)²]×[x/(x-4)]
=(x-4)/[(x-2)²(x-4)]
=1/(x-2)²
=1/(3-2)²
=1

网友(2):

(x+2/x²-2x-x-1/x²-4x+4)÷x²-16/x²+4x
=(-6x+1/x²)/x²-16/x²+4x
=(-18+1/9)/9-16/9+12
=8.23458