Question

化简：(X-3/2X-4)除以[(5/x-2)-x-2],

Answer 1

[(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)