SOLUTION: q + 1/q-3 - 2q/q-3 / q+5/q-3 I am close but can't find out what I am missing to solve the problem. I guess I am missing a step somewhere.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: q + 1/q-3 - 2q/q-3 / q+5/q-3 I am close but can't find out what I am missing to solve the problem. I guess I am missing a step somewhere.      Log On


   



Question 76218This question is from textbook College Algebra
: q + 1/q-3 - 2q/q-3 / q+5/q-3
I am close but can't find out what I am missing to solve the problem. I guess I am missing a step somewhere.
This question is from textbook College Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(q + 1)/(q-3) - (2q)/(q-3) / (q+5)/(q-3)
=[(q+1)/(q-3)]-[2q/(q-3)}
=[(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)]
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Cheers,
Stan H.