SOLUTION: could you please help me with this problem Simplify as much as possible {{{5x-1 over x^2 +2x -8}}} - 6 over x+4

Algebra ->  Rational-functions -> SOLUTION: could you please help me with this problem Simplify as much as possible {{{5x-1 over x^2 +2x -8}}} - 6 over x+4      Log On


   

Question 29994: could you please help me with this problem
Simplify as much as possible
5x-1+over+x%5E2+%2B2x+-8 - 6 over x+4
Answer by sdmmadam@yahoo.com(530) About Me  (Show Source):
You can put this solution on YOUR website!
5x-1 over x^2 +2x -8}}} - 6 over x+4
[(5x-1)/(x^2 +2x -8)] - [6/(x+4)]
= [(5x-1)/(x+4)(x-2)]- 6/(x+4)
= [1/(x+4)(x-2)][(5x-1)-6(x-2)]
=(5x-1-6x+12)/(x+4)(x-2)
=(-x+11)/(x+4)(x-2)
=(11-x)/(x+4)(x-2)