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

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

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

是的,我计算后也是这个结果。关键是将(2x+z-y)打开写成[(x+z+(x-y)]的形式,后面也是同样的道理