因式分解:(1/x+1-1/x-1)÷2/x²-1

问题描述:

因式分解:(1/x+1-1/x-1)÷2/x²-1

=【(x-1)/(x²-1)-(x+1)/(x²-1)】÷2/(x²-1)
=【(x-1)-(x+1)】/(x²-1)÷2/(x²-1)
= -2(x²-1)÷2/(x²-1)
= -1