Help with factorizing? please!!?

Question

this is driving me crazy, I cannot figure it out.

factorize and then simplilfy:

m-m^2/m^3-m^2

I know the answer is -1/m but I don't know how to get to that answer.!

please help!

Answer 1

factor out common terms:

m(1-m)/m^2(m-1)

simplify

(1-m)/m(m-1)

factor out a -1 from the top

-1(-1+m)/m(m-1)

rearrange

-1(m-1)/m(m-1)

cancel like terms

-1/m

Care to return the favor?

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Answer 2

[m( 1-m)]/ [ m^2(m-1)]=(1-m)/[ m( m-1)]

since m-1 = -1( -m+1) or   -1 ( 1-m)

  so it becomes

      ( 1-m)/ [ m( -1( 1-m)]=  1/ m ( -1)=  1/ -m = - 1/ m

Answer 3

m(1-m)/-m^2(-m+1)

m(1-m)/-m^2(1-m) factor our (1-m) and the m from top and bottom

-1/m