化简:(X-3/2X-4)除以[(5/x-2)-x-2],
来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/09/25 00:32:45
化简:(X-3/2X-4)除以[(5/x-2)-x-2],
[(X-3)/(2X-4)]÷{[5/(X-2)]-X-2]}
=[(X-3)/2(X-2)]÷{[5/(X-2)]-(X+2)]}
=[(X-3)/2(X-2)]÷[5-(X-2)(X+2)/(X-2)]
=[(X-3)/2(X-2)]÷[(9-X^2)/(X-2)]
=[(X-3)/2(X-2)]÷[(3+X)(3-X)/(X-2)]
=[(X-3)/2(X-2)]×(X-2)/[(3+X)(3-X)]
=-1/[2(3+X)]
=-1/(2X+6)
=[(X-3)/2(X-2)]÷{[5/(X-2)]-(X+2)]}
=[(X-3)/2(X-2)]÷[5-(X-2)(X+2)/(X-2)]
=[(X-3)/2(X-2)]÷[(9-X^2)/(X-2)]
=[(X-3)/2(X-2)]÷[(3+X)(3-X)/(X-2)]
=[(X-3)/2(X-2)]×(X-2)/[(3+X)(3-X)]
=-1/[2(3+X)]
=-1/(2X+6)
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