已知X/Y=2/3,则X^2-Y^2/X^2-2XY+Y^2除以XY+Y^2/X^2-XY

来源：学生作业帮编辑：大师作文网作业帮分类：数学作业时间：2024/10/07 09:25:28

原式=(X+Y)(X-Y)/(X-Y)^2÷Y(X+Y)/(X+Y)(X-Y)
=(X+Y)/(X-Y)÷Y(X-Y)
=(X+Y)/(X-Y)×(X-Y)/Y
=(X+Y)/Y
=X/Y+Y/Y
=2/3+1
=5/3
再问：除号后面的化简好像错了唉。。
再答：原式=(X+Y)(X-Y)/(X-Y)^2÷Y(X+Y)/X(X-Y) =(X+Y)/(X-Y)÷Y(X+Y)/X(X-Y) =(X+Y)/(X-Y)×X(X-Y)/Y(X+Y) =X/Y =2/3 对不起

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