Question

(1-x-1分之1)除以X的平方-1分之X的平方-4X+4,然后从X大于-2小于2的范围选一个合适的整数作为X的值代入求

Answer 1

原式=[1-1/(x-1)]÷[(x²-4x+4)/(x²-1)]

=[(x-1)/(x-1)-1/(x-1)]×[(x²-1)/(x²-4x+4)]

=[(x-1-1)/(x-1)]×[(x+1)(x-1)/(x-2)²]

=[(x-2)/(x-1)]×[(x+1)(x-1)/(x-2)²]

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

当x=0时

原式=(0+1)/(0-2)

=1/(-2)

= -1/2

=-2