求(2X+Z-Y)/(X^2-XY+XZ-YZ)-(2X+Y+Z)/(X^2+XY+XZ+YZ)

问题描述:

求(2X+Z-Y)/(X^2-XY+XZ-YZ)-(2X+Y+Z)/(X^2+XY+XZ+YZ)

原式=(X-Y)+(X+Z)/(X-Y)*(X+Z)-(X+Y)+(X+Z)/(X+Y)*(X+Z)
=1/(X+Z)+1/(X-Y)-1/(X+Z)-1/(X+Y)
=2Y/X^2-Y^2