计算(x/x-2 - x/x+2)除以4x/x2-4

问题描述:

计算(x/x-2 - x/x+2)除以4x/x2-4

3/2

原式=x[(x+2-x+2)/(x+2)(x-2)*(x+2)(x-2)/4x
=4x//(x+2)(x-2)*(x+2)(x-2)/4x
=1

(x/x-2 - x/x+2)除以4x/x²-4
=(x²+2x-x²+2x)/(x²-4)÷[4x/(x²-4)]
=4x/(x²-4)÷[4x/(x²-4)]
=1