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3m-9/m^2-2m divided by m^2-m-6/m^2-4

sorry i cant get it to type correct

\[\frac{3(m-3)}{m(m-2)}\times \frac{(m-2)(m+2)}{(m-3)(m+2)}=\frac{3}{m}\]

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ok that is what I was wondering , factor first then flip correct?

Or then flip and then factor. Makes no difference. And why did it have to be done twice?