algebra
posted by Randy on .
subtract, simplfy by removing a factor of 1 when possible.
19dc/d^2c^2  dc/d+c

You must mean ....
19cd/(d^2  c^2)  (dc)/(d+c)
then ...
= 19cd/((d+c)(dc)  (dc)/(d+c)
LCD is (d+c)(dc)
= ( 19cd  (dc)(d+c) )/((d+c)(dc) )
= (c^2 + 19cd  d^2)/(d^2  c^2)
not much of a simplication.
Confirm if my assumption of the question was correct.