计算:2/x++1 - x-2/x²-1 ÷ x²-2x/x²-2x+1

问题描述:

计算:2/x++1 - x-2/x²-1 ÷ x²-2x/x²-2x+1
要详细过程!

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