SOLUTION: Can someone help me with this question please: Simplify the complex rational expression 3x/x-4 +1 / 15/x^2-16 + 1

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Can someone help me with this question please: Simplify the complex rational expression 3x/x-4 +1 / 15/x^2-16 + 1      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 95733: Can someone help me with this question please: Simplify the complex rational expression 3x/x-4 +1 / 15/x^2-16 + 1
Answer by ankor@dixie-net.com(12701) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify the complex rational expression:
Assume you mean:
%283x%29%2F%28%28x-4%29%29+%2B+1
-------------
15%2F%28%28x%5E2-16%29%29+%2B+1
:
Put upper and lower fractions over single denominators:
%283x+%2B+%28x-4%29%29%2F%28%28x-4%29%29
------------- =
%2815+%2B+%28x%5E2-16%29%29%2F%28%28x%5E2-16%29%29
:
Combine like terms:
%28%284x+-+4%29%29%2F%28%28x-4%29%29
-------------
%28%28x%5E2-1%29%29%2F%28%28x%5E2-16%29%29
:
Invert the dividing fraction and multiply....then factor.... cancel (x-1), cancel (x-4),:
%28%284x+-+4%29%29%2F%28%28x-4%29%29 * %28%28x%5E2-16%29%29%2F%28%28x%5E2-1%29%29 = %284%28x+-+1%29%29%2F%28%28x-4%29%29 * %28%28x-4%29%28x%2B4%29%29%2F%28%28x-1%29%28x%2B1%29%29 = %284%28x%2B4%29%29%2F%28%28x%2B1%29%29
: