SOLUTION: { { { m^2+5m/m^2-25 / m^2-3m-18/m^2-11m+30 } } }

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Question 30702: { { { m^2+5m/m^2-25 / m^2-3m-18/m^2-11m+30 } } }
Answer by sdmmadam@yahoo.com(530) About Me  (Show Source):
You can put this solution on YOUR website!
m^2+5m/m^2-25 / m^2-3m-18/m^2-11m+30
[(m^2+5m)/(m^2-25)] divided by [m^2-3m-18]/[m^2-11m+30]
= [m(m+5)/(m+5)(m-5)] divided by [(m-6)(m+3)/(m-6)(m-5)]
(factoring)
=[m/(m-5)]divided by [(m+3)/(m-5)]
= [m/(m-5)]mulitiplied by [(m-5)/(m+3)]
(when the division sign is replaced by mulitiplication sigh then the fraction that comes after the division symbol is replaced by [1/that fraction]
= [m/(m-5)]X[(m-5)/(m+3)]
= m/(m+3)