Question 76218
(q + 1)/(q-3) - (2q)/(q-3) / (q+5)/(q-3)

=[(q+1)/(q-3)]-[2q/(q-3)}*[(q-3)/(q+5)]

=[(q+1)/(q-3)]-[2q/(q+5)]

lcd = (q-3)(q+5)

=[(q+1)(q+5)]/lcd - [2q(q-3)]/lcd

=[q^2+6q+5-2q^2+6q]/lcd

=[-q^2+12q+5]/[(q-3)(q+5)]

==============
Cheers,
Stan H.