SOLUTION: 2m^2+59m-30/m^2-10m+25 divided by 2m^2-21m+10/m^2+m-30

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Question 303002: 2m^2+59m-30/m^2-10m+25 divided by 2m^2-21m+10/m^2+m-30
Answer by mananth(16946) About Me  (Show Source):
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2m^2+59m-30/m^2-10m+25 divided by 2m^2-21m+10/m^2+m-30
2m^2+60m-m-30 / (m-5)^2 / 2m^2-20m-m+10 / m^2+6m-5m-30
2m(m+30)-1(m+30) / (m-5)^2 / 2m(m-10)-1(m-10) / m(m+6)-1(m+6)
(2m-1)(m+30)/(m-5)^2 / (2m-1)(m-10) / (m-1)(m+6)
(2m-1)(m+30)/(m-5)^2 * (m-1)(m+6) / (2m-1)(m-10)
(m+30)(m-1)(m+6)/(m-5)^2(m-10)
Ananth