字典翻译 问答 其它 求(2X+Z-Y)/(X^2-XY+XZ-YZ)-(2X+Y+Z)/(X^2+XY+XZ+YZ)
问题标题:
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)

沈碧娴回答:
  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
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