#1**+2 **

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)

CPhill Nov 5, 2018