+129852 5m 4
___________ - ___
18m^2 - 18 m + 5
Cross-multiply with the same sign as between the fraction
5m (m + 5) - 4(18m^2 - 18) =
5m^2 + 25m - 72m^2 + 72 =
-67m^2 + 25m + 72
Product of the denominators
(18m^2 - 18) ( m + 5) =
18m^3 - 18m + 5m^2- 80
18m^3 + 5m^2 - 18m - 80
Note, RP...if your teacher wants you to factor 18m^2 - 18 first,we have
18 (m^2 - 1) = 18 (m + 1) (m - 1)
So...the product of the denominators is
18 ( m + 1) (m - 1) (m + 5)
So...the final answer is
-67m^2 + 25m + 72
__________________
18 ( m + 1) ( m - 1) ( m + 5)
