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:学生作业帮助网 编辑:六六作业网 时间:2024/12/19 02:37:42
已知X/Y=2/3,则X^2-Y^2/X^2-2XY+Y^2除以XY+Y^2/X^2-XY已知X/Y=2/3,则X^2-Y^2/X^2-2XY+Y^2除以XY+Y^2/X^2-XY已知X/Y=2/3,

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

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

根号下大于等于0
1/x≥0
x>0
真数大于0
x>0
分母不等于0
1-lgx≠0
lgx≠1
x≠10
所以定义域(0,10)∪(10,+∞)

是不是没有加括号啊;如果是(X^2-Y^2)/(X^2-2XY+Y^2)除以(XY+Y^2)/(X^2-XY)的话,分子分母分别进行化简就得到X/Y,很显然等于2/3啊